subject:(DIRAC OPERATOREN FUNKTIONALANALYSIS )

ETH Zürich

1. Farinelli, S. Spectra of dirac operators on a family of degenerating hyperbolic three manifolds.

Degree: 1998, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/143641

Subjects/Keywords: DIRAC-OPERATOREN (FUNKTIONALANALYSIS); RIEMANNSCHE MANNIGFALTIGKEITEN (TOPOLOGIE); DIRAC OPERATORS (FUNCTIONAL ANALYSIS); RIEMANNIAN MANIFOLDS (TOPOLOGY); info:eu-repo/classification/ddc/510; info:eu-repo/classification/ddc/510; info:eu-repo/classification/ddc/510; Mathematics; Mathematics; Mathematics

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APA (6^th Edition):

Farinelli, S. (1998). Spectra of dirac operators on a family of degenerating hyperbolic three manifolds. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/143641

Chicago Manual of Style (16^th Edition):

Farinelli, S. “Spectra of dirac operators on a family of degenerating hyperbolic three manifolds.” 1998. Doctoral Dissertation, ETH Zürich. Accessed January 23, 2021. http://hdl.handle.net/20.500.11850/143641.

MLA Handbook (7^th Edition):

Farinelli, S. “Spectra of dirac operators on a family of degenerating hyperbolic three manifolds.” 1998. Web. 23 Jan 2021.

Vancouver:

Farinelli S. Spectra of dirac operators on a family of degenerating hyperbolic three manifolds. [Internet] [Doctoral dissertation]. ETH Zürich; 1998. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/20.500.11850/143641.

Council of Science Editors:

Farinelli S. Spectra of dirac operators on a family of degenerating hyperbolic three manifolds. [Doctoral Dissertation]. ETH Zürich; 1998. Available from: http://hdl.handle.net/20.500.11850/143641

University of Vienna

2. Piorkowski, Mateusz Mieczyslaw. Dynamic uncertainty principle for the discrete Dirac operator.

Degree: 2017, University of Vienna

URL: http://othes.univie.ac.at/50735/

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In dieser Arbeit untersuchen wir das sogenannte 'dynamische Unschärfeprinzip' für den eindimensionalen diskreten Dirac-Operator. Dieses besagt, dass eine Lösung, die an zwei Zeitpunkten für plus… (more)

Subjects/Keywords: 31.46 Funktionalanalysis; 31.42 Funktionen mit einer komplexen Variablen; Diskreter Dirac Operator / Jost Lösungen / Dynamisches Unschärfeprinzip; Discrete Dirac Operator / Jost Solutions / Dynamical Uncertainty Principle

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APA (6^th Edition):

Piorkowski, M. M. (2017). Dynamic uncertainty principle for the discrete Dirac operator. (Thesis). University of Vienna. Retrieved from http://othes.univie.ac.at/50735/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Piorkowski, Mateusz Mieczyslaw. “Dynamic uncertainty principle for the discrete Dirac operator.” 2017. Thesis, University of Vienna. Accessed January 23, 2021. http://othes.univie.ac.at/50735/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Piorkowski, Mateusz Mieczyslaw. “Dynamic uncertainty principle for the discrete Dirac operator.” 2017. Web. 23 Jan 2021.

Vancouver:

Piorkowski MM. Dynamic uncertainty principle for the discrete Dirac operator. [Internet] [Thesis]. University of Vienna; 2017. [cited 2021 Jan 23]. Available from: http://othes.univie.ac.at/50735/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Piorkowski MM. Dynamic uncertainty principle for the discrete Dirac operator. [Thesis]. University of Vienna; 2017. Available from: http://othes.univie.ac.at/50735/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Vienna

3. Stadler, Robert. Relative oscillation theory for Dirac operators.

Degree: 2010, University of Vienna

URL: http://othes.univie.ac.at/8426/

Wir behandeln relative Oszillationstheorie für eindimensionale Dirac-Operatoren mit getrennten Randbedingungen.

We investigate relative oscillation theory for one-dimensional Dirac operators with separated boundary conditions.

Subjects/Keywords: 31.44 Gewöhnliche Differentialgleichungen; 31.46 Funktionalanalysis; Prüfer Variable / gewichtete Nullstellen der Wronski-Determinante / Approximation durch reguläre Operatoren / Approximation in der Spur-Norm / relative Oszillationskriterien; Prüfer variables / weighted zeros of Wronskians / Approximation by regular operators / Approximation in trace norm / Relative oscillation criteria

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Stadler, R. (2010). Relative oscillation theory for Dirac operators. (Thesis). University of Vienna. Retrieved from http://othes.univie.ac.at/8426/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Stadler, Robert. “Relative oscillation theory for Dirac operators.” 2010. Thesis, University of Vienna. Accessed January 23, 2021. http://othes.univie.ac.at/8426/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Stadler, Robert. “Relative oscillation theory for Dirac operators.” 2010. Web. 23 Jan 2021.

Vancouver:

Stadler R. Relative oscillation theory for Dirac operators. [Internet] [Thesis]. University of Vienna; 2010. [cited 2021 Jan 23]. Available from: http://othes.univie.ac.at/8426/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Stadler R. Relative oscillation theory for Dirac operators. [Thesis]. University of Vienna; 2010. Available from: http://othes.univie.ac.at/8426/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

ETH Zürich

4. Amann, Olivier Éric. Groups of tree-automorphisms and their unitary representations.

Degree: 2003, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/147733

Subjects/Keywords: GRAPHENISOMORPHISMEN (GRAPHENTHEORIE); BÄUME (GRAPHENTHEORIE); UNITÄRE OPERATOREN (FUNKTIONALANALYSIS); GRAPH ISOMORPHISMS (GRAPH THEORY); TREES (GRAPH THEORY); UNITARY OPERATORS (FUNCTIONAL ANALYSIS); info:eu-repo/classification/ddc/510; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Amann, O. �. (2003). Groups of tree-automorphisms and their unitary representations. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/147733

Chicago Manual of Style (16^th Edition):

Amann, Olivier Éric. “Groups of tree-automorphisms and their unitary representations.” 2003. Doctoral Dissertation, ETH Zürich. Accessed January 23, 2021. http://hdl.handle.net/20.500.11850/147733.

MLA Handbook (7^th Edition):

Amann, Olivier Éric. “Groups of tree-automorphisms and their unitary representations.” 2003. Web. 23 Jan 2021.

Vancouver:

Amann O�. Groups of tree-automorphisms and their unitary representations. [Internet] [Doctoral dissertation]. ETH Zürich; 2003. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/20.500.11850/147733.

Council of Science Editors:

Amann O�. Groups of tree-automorphisms and their unitary representations. [Doctoral Dissertation]. ETH Zürich; 2003. Available from: http://hdl.handle.net/20.500.11850/147733

ETH Zürich

5. Sentís, Manuel Lorenzo. Quantum theory of open systems.

Degree: 2002, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/148951

Subjects/Keywords: GRUNDPROBLEME DER QUANTENTHEORIE; SPEKTRALTHEORIE LINEARER OPERATOREN IN HILBERTRÄUMEN (FUNKTIONALANALYSIS); MATHEMATISCHE PHYSIK; BASIC PROBLEMS IN QUANTUM THEORY; SPECTRAL THEORY OF LINEAR OPERATORS IN HILBERT SPACES (FUNCTIONAL ANALYSIS); MATHEMATICAL PHYSICS; info:eu-repo/classification/ddc/530; Physics

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APA (6^th Edition):

Sentís, M. L. (2002). Quantum theory of open systems. (Thesis). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/148951

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Sentís, Manuel Lorenzo. “Quantum theory of open systems.” 2002. Thesis, ETH Zürich. Accessed January 23, 2021. http://hdl.handle.net/20.500.11850/148951.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Sentís, Manuel Lorenzo. “Quantum theory of open systems.” 2002. Web. 23 Jan 2021.

Vancouver:

Sentís ML. Quantum theory of open systems. [Internet] [Thesis]. ETH Zürich; 2002. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/20.500.11850/148951.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Sentís ML. Quantum theory of open systems. [Thesis]. ETH Zürich; 2002. Available from: http://hdl.handle.net/20.500.11850/148951

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Vienna

6. Kastner, Klaus. Stochastic primal-dual forward-backward-forward algorithm with applications in machine learning.

Degree: 2018, University of Vienna

URL: http://othes.univie.ac.at/53897/

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Wir präsentieren ein stochastisches Primal-duales Vorwärts-Rückwärts-Vorwärts Verfahren zum Lösen des monotonen Inklusions-Problems, welches maximal- monotone Operatoren, lineare Zusammensetzungen paralleler Summen von maximal- monotonen Operatoren und… (more)

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Wir präsentieren ein stochastisches Primal-duales Vorwärts-Rückwärts-Vorwärts Verfahren zum Lösen des monotonen Inklusions-Problems, welches maximal- monotone Operatoren, lineare Zusammensetzungen paralleler Summen von maximal- monotonen Operatoren und einzelwertige Lipschitz-stetige monotone Operatoren umfasst. Wir erwarten uns ein besseres Konvergenzverhalten vom stochastischen Algorithmus im Vergleich zu seinem deterministischen Gegenüber, weil ersterer durch zufälliges Aktivieren der Koordinaten in jeder Iteration Rechenaufwand einspart. Basierend auf dem Konzept der quasi-Fejér Monotonie beweisen wir die fast-sicher Konvergenz des Algorithmuses. Im zweiten Teil dieser Arbeit zeigen wir, wie man das stochastische Primal-duale Vorwärts-Rückwärts-Vorwärts Verfahren einerseits zum Lösen allgemeiner konvexer Optimierungsaufgaben und darauf basierend andererseits zum Lösen speziell für das Kernel-basierte Maschinelle Lernen verwenden kann. Konkret benützen wir eine große Auswahl von Bildern, welche die handgeschriebenen Ziffern Vier oder Fünf zeigen, um eine Support Vektor Maschine zu trainieren. Diese zielt darauf ab, die Bilder richtig zu unterscheiden. Abstrakt formuliert gleicht diese Aufgabe einer konvexen Optimierungsaufgabe. Anhand dieser Anwendung testen wir verschiedene Typen des stochastischen Algorithmuses, bewerten deren Leistungsfähigkeiten und vergleichen diese mit der Leistungsfähigkeit seines deterministischen Gegenüber. Zum Schluss präsentieren wir noch die MATLAB-Codes.

We propose a stochastic primal-dual forward-backward-forward algorithm for solving monotone inclusion problems involving maximally monotone operators, linear compositions of parallel sums of maximally monotone operators and single-valued Lipschitzian monotone operators. The stochastic algorithm is expected to converge faster than its deterministic counterpart, since every iteration computational effort is saved by using a random sweeping strategy. Based on the concept of quasi-Fejér monotonicity, we prove the almost sure convergence of the algorithm. In the second half of this thesis, we discuss the employment of the proposed algorithm in context of solving convex minimization problems, arising in the field of Kernel based Machine Learning. We use a pool of hand-written images showing the numbers four or five in order to train a Support Vector Machine, which aims to classify the images correctly. This issue is equivalent to solving a convex minimization problem. By means of this application we test several types of the stochastic algorithm, assess their performances and compare them to the performance of its deterministic counterpart. Finally, we present the according MATLAB-codes.

Subjects/Keywords: 31.46 Funktionalanalysis; 31.47 Operatortheorie; 31.70 Wahrscheinlichkeitsrechnung; 31.76 Numerische Mathematik; 31.80 Angewandte Mathematik; 31.40 Analysis: Allgemeines; 54.72 Künstliche Intelligenz; Zufallsvariablen / stochastische quasi-Fejér monotone Folge / stochastischer Algorithmus / maximal-monotone Operatoren / Resolvente / konvexes Optimierungsproblem / Subdifferential / Kernel-basiertes maschinelles Lernen / Support Vector Maschine / numerische Experimente; arbitrary sampling / block-coordinate algorithm / random variables / stochastic algorithm / stochastic Fejer-monotone sequence / maximally monotone operator / resolvent / convex optimization / subdifferential / kernel-based machine learning / support vector machine / numerical experiments

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kastner, K. (2018). Stochastic primal-dual forward-backward-forward algorithm with applications in machine learning. (Thesis). University of Vienna. Retrieved from http://othes.univie.ac.at/53897/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kastner, Klaus. “Stochastic primal-dual forward-backward-forward algorithm with applications in machine learning.” 2018. Thesis, University of Vienna. Accessed January 23, 2021. http://othes.univie.ac.at/53897/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kastner, Klaus. “Stochastic primal-dual forward-backward-forward algorithm with applications in machine learning.” 2018. Web. 23 Jan 2021.

Vancouver:

Kastner K. Stochastic primal-dual forward-backward-forward algorithm with applications in machine learning. [Internet] [Thesis]. University of Vienna; 2018. [cited 2021 Jan 23]. Available from: http://othes.univie.ac.at/53897/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kastner K. Stochastic primal-dual forward-backward-forward algorithm with applications in machine learning. [Thesis]. University of Vienna; 2018. Available from: http://othes.univie.ac.at/53897/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

ETH Zürich

7. Gittelson, Claude Jeffrey. Adaptive Galerkin methods for parametric and stochastic operator equations.

Degree: 2011, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/40070

Subjects/Keywords: GALERKIN METHOD (NUMERICAL MATHEMATICS); FRAMES (FUNKTIONALANALYSIS); STOCHASTIC DIFFERENTIAL EQUATIONS (PROBABILITY THEORY); STOCHASTISCHE DIFFERENTIALGLEICHUNGEN (WAHRSCHEINLICHKEITSRECHNUNG); GALERKIN-VERFAHREN (NUMERISCHE MATHEMATIK); MEHRGITTERVERFAHREN + GITTERERZEUGUNG (NUMERISCHE MATHEMATIK); LINEARE OPERATOREN UND OPERATORENGLEICHUNGEN (FUNKTIONALANALYSIS); LINEAR OPERATORS AND OPERATOR EQUATIONS (FUNCTIONAL ANALYSIS); MULTIGRID METHODS + GRID GENERATION (NUMERICAL MATHEMATICS); FRAMES (FUNCTIONAL ANALYSIS); info:eu-repo/classification/ddc/510; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gittelson, C. J. (2011). Adaptive Galerkin methods for parametric and stochastic operator equations. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/40070

Chicago Manual of Style (16^th Edition):

Gittelson, Claude Jeffrey. “Adaptive Galerkin methods for parametric and stochastic operator equations.” 2011. Doctoral Dissertation, ETH Zürich. Accessed January 23, 2021. http://hdl.handle.net/20.500.11850/40070.

MLA Handbook (7^th Edition):

Gittelson, Claude Jeffrey. “Adaptive Galerkin methods for parametric and stochastic operator equations.” 2011. Web. 23 Jan 2021.

Vancouver:

Gittelson CJ. Adaptive Galerkin methods for parametric and stochastic operator equations. [Internet] [Doctoral dissertation]. ETH Zürich; 2011. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/20.500.11850/40070.

Council of Science Editors:

Gittelson CJ. Adaptive Galerkin methods for parametric and stochastic operator equations. [Doctoral Dissertation]. ETH Zürich; 2011. Available from: http://hdl.handle.net/20.500.11850/40070

Addis Ababa University

8. Yikdem, Mengesha. VECTOR MESON DECAY CONSTANTS WITH INCLUSION OF BOTH LO AND NLO DIRAC COVARIANTS IN HADRON-QUARK VERTEX .

Degree: 2012, Addis Ababa University

URL: http://etd.aau.edu.et/dspace/handle/123456789/1273

► The Bethe-Salpeter equation (BSE) provides a non-perturbativ method of treating the relativistic two-particle bound state problems on the basis of covariant instantaneous ansatz (CIA). On… (more)

Subjects/Keywords: NLO DIRAC; HADRON-QUARK VERTEX

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Yikdem, M. (2012). VECTOR MESON DECAY CONSTANTS WITH INCLUSION OF BOTH LO AND NLO DIRAC COVARIANTS IN HADRON-QUARK VERTEX . (Thesis). Addis Ababa University. Retrieved from http://etd.aau.edu.et/dspace/handle/123456789/1273

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Yikdem, Mengesha. “VECTOR MESON DECAY CONSTANTS WITH INCLUSION OF BOTH LO AND NLO DIRAC COVARIANTS IN HADRON-QUARK VERTEX .” 2012. Thesis, Addis Ababa University. Accessed January 23, 2021. http://etd.aau.edu.et/dspace/handle/123456789/1273.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Yikdem, Mengesha. “VECTOR MESON DECAY CONSTANTS WITH INCLUSION OF BOTH LO AND NLO DIRAC COVARIANTS IN HADRON-QUARK VERTEX .” 2012. Web. 23 Jan 2021.

Vancouver:

Yikdem M. VECTOR MESON DECAY CONSTANTS WITH INCLUSION OF BOTH LO AND NLO DIRAC COVARIANTS IN HADRON-QUARK VERTEX . [Internet] [Thesis]. Addis Ababa University; 2012. [cited 2021 Jan 23]. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1273.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Yikdem M. VECTOR MESON DECAY CONSTANTS WITH INCLUSION OF BOTH LO AND NLO DIRAC COVARIANTS IN HADRON-QUARK VERTEX . [Thesis]. Addis Ababa University; 2012. Available from: http://etd.aau.edu.et/dspace/handle/123456789/1273

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

9. Franchina Vergel, Nathali Alexandra. Dirac antidot superlattices for electrons in III-V semiconductors : Super-réseau d’antipoints de Dirac pour les électrons dans les semiconducteurs III-V.

Degree: Docteur es, Électronique, microélectronique, nanoélectronique et micro-ondes, 2020, Université Lille I – Sciences et Technologies

URL: http://www.theses.fr/2020LIL1I002

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Le graphène est l'un des matériaux les plus fascinants jamais découverts. L’observation de cette monocouche d’atomes de carbone en 2004, a suscité beaucoup d'enthousiasme dans… (more)

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Le graphène est l'un des matériaux les plus fascinants jamais découverts. L’observation de cette monocouche d’atomes de carbone en 2004, a suscité beaucoup d'enthousiasme dans la communauté de la physique. Il représente en fait la première réalisation d'un matériau bidimensionnel naturel. De plus, l'organisation unique des atomes de carbone lui confère des propriétés électroniques exotiques au graphène. Ainsi, la découverte du graphène a ouvert la porte à des effets quantiques difficiles à observer dans d'autres systèmes conventionnels. Néanmoins, étant un matériau naturel, la feuille de carbone ne vient que dans un arrangement atomique : les atomes sont organisés en réseau hexagonal et leurs positions sont fixes. De nos jours, les propriétés électroniques du graphène peuvent être obtenues dans d'autres systèmes, en particulier ceux ayant une symétrie triangulaire. Ces matériaux, connus sous le nom de « matériaux de Dirac », représentent une plate-forme parfaite pour tester des nouveaux phénomènes quantiques non observables dans le graphène.Dans ce travail de thèse, basé sur des travaux antérieurs et des calculs atomistiques en liaisons fortes, un potentiel périodique avec une géométrie en nid d'abeille sera appliqué sur un gaz d'électrons bidimensionnel. Le gaz d'électrons sera créé dans un puit quantique d’InGaAs/InP épitaxié par jet moléculaire. Le puit d’InGaAs et en particulier, sa nature bidimensionnelle, seront caractérisées par microscopie et spectroscopie à effet tunnel à basse température et par des techniques expérimentales supplémentaires. En poussant à leur limite les lithographies de faisceau d'électrons à haute résolution ou de copolymères à blocs, les barrières de potentiel en nid d'abeilles seront nanostructurées dans la couche d'InGaAs pour confiner directement le mouvement des électrons. Ainsi, la réalisation de réseaux hexagonaux ayant une périodicité comprise entre 45 et 20 nm permettra la formation de cônes Dirac et de bandes plates non triviales couvrant des gammes d'énergie allant jusqu'à des dizaines de meV. Le matériau de Dirac obtenu et sa physique intéressante seront étudiés en utilisant la microscopie et la spectroscopie à effet tunnel à basse température. De cette façon, nous ouvririons la porte à un nouveau domaine attractif qui fournirait un contrôle plus fort sur l'ingénierie des bandes en physique de la matière condensée.

Graphene is one of the most fascinating materials ever discovered. The achievement of this single-layer carbon atoms in 2004, generated a lot of enthusiasm in the physics community. It represents in fact the first realization of a naturally occurring two-dimensional material. In addition, the unique organization of the carbon atoms confers graphene exotic electronic properties. Thus, the discovery of graphene opened the door to quantum mechanical effects that are difficult to observe in other conventional systems. Nevertheless, being a natural material, the carbon sheet comes in only one atomic arrangement: the atoms are organized in a hexagonal lattice and their…

Advisors/Committee Members: Grandidier, Bruno (thesis director), Delerue, Christophe (thesis director).

Subjects/Keywords: Cônes de Dirac; 621.381 52

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Franchina Vergel, N. A. (2020). Dirac antidot superlattices for electrons in III-V semiconductors : Super-réseau d’antipoints de Dirac pour les électrons dans les semiconducteurs III-V. (Doctoral Dissertation). Université Lille I – Sciences et Technologies. Retrieved from http://www.theses.fr/2020LIL1I002

Chicago Manual of Style (16^th Edition):

Franchina Vergel, Nathali Alexandra. “Dirac antidot superlattices for electrons in III-V semiconductors : Super-réseau d’antipoints de Dirac pour les électrons dans les semiconducteurs III-V.” 2020. Doctoral Dissertation, Université Lille I – Sciences et Technologies. Accessed January 23, 2021. http://www.theses.fr/2020LIL1I002.

MLA Handbook (7^th Edition):

Franchina Vergel, Nathali Alexandra. “Dirac antidot superlattices for electrons in III-V semiconductors : Super-réseau d’antipoints de Dirac pour les électrons dans les semiconducteurs III-V.” 2020. Web. 23 Jan 2021.

Vancouver:

Franchina Vergel NA. Dirac antidot superlattices for electrons in III-V semiconductors : Super-réseau d’antipoints de Dirac pour les électrons dans les semiconducteurs III-V. [Internet] [Doctoral dissertation]. Université Lille I – Sciences et Technologies; 2020. [cited 2021 Jan 23]. Available from: http://www.theses.fr/2020LIL1I002.

Council of Science Editors:

Franchina Vergel NA. Dirac antidot superlattices for electrons in III-V semiconductors : Super-réseau d’antipoints de Dirac pour les électrons dans les semiconducteurs III-V. [Doctoral Dissertation]. Université Lille I – Sciences et Technologies; 2020. Available from: http://www.theses.fr/2020LIL1I002

Rutgers University

10. Kallupalam Balasubramanian, Moulik, 1988-. Scalar fields and spin-half fields on mildly singular spacetimes.

Degree: PhD, Mathematics, 2015, Rutgers University

URL: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/

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A charged particle-spacetime is a solution to Einstein’s equations coupled to a nonlinear electromagnetic theory. It has a mild curvature singularity and a bounded electric… (more)

Subjects/Keywords: Scalar field theory; Dirac equation

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APA (6^th Edition):

Kallupalam Balasubramanian, Moulik, 1. (2015). Scalar fields and spin-half fields on mildly singular spacetimes. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/47452/

Chicago Manual of Style (16^th Edition):

Kallupalam Balasubramanian, Moulik, 1988-. “Scalar fields and spin-half fields on mildly singular spacetimes.” 2015. Doctoral Dissertation, Rutgers University. Accessed January 23, 2021. https://rucore.libraries.rutgers.edu/rutgers-lib/47452/.

MLA Handbook (7^th Edition):

Kallupalam Balasubramanian, Moulik, 1988-. “Scalar fields and spin-half fields on mildly singular spacetimes.” 2015. Web. 23 Jan 2021.

Vancouver:

Kallupalam Balasubramanian, Moulik 1. Scalar fields and spin-half fields on mildly singular spacetimes. [Internet] [Doctoral dissertation]. Rutgers University; 2015. [cited 2021 Jan 23]. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/.

Council of Science Editors:

Kallupalam Balasubramanian, Moulik 1. Scalar fields and spin-half fields on mildly singular spacetimes. [Doctoral Dissertation]. Rutgers University; 2015. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/47452/

11. Wilmart, Quentin. Engineering doping profils in graphene : from Dirac fermion oprtics to high frequency electronics : Ingénierie du profil de dopage dans le graphène : de l'optique des fermions de Dirac à l'électronique haute fréquence.

Degree: Docteur es, Physique, 2015, Paris, Ecole normale supérieure

URL: http://www.theses.fr/2015ENSU0044

►

Une décennie après la découverte du graphème par A.K. Geim et K.S. Novoselov ,beaucoup de ses propriétés fondamentales ont été intensément étudiées. En effet, lespromesses… (more)

Subjects/Keywords: Fermion de Dirac; Graphème; Dirac fermion; Grapheme; 537

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APA (6^th Edition):

Wilmart, Q. (2015). Engineering doping profils in graphene : from Dirac fermion oprtics to high frequency electronics : Ingénierie du profil de dopage dans le graphène : de l'optique des fermions de Dirac à l'électronique haute fréquence. (Doctoral Dissertation). Paris, Ecole normale supérieure. Retrieved from http://www.theses.fr/2015ENSU0044

Chicago Manual of Style (16^th Edition):

Wilmart, Quentin. “Engineering doping profils in graphene : from Dirac fermion oprtics to high frequency electronics : Ingénierie du profil de dopage dans le graphène : de l'optique des fermions de Dirac à l'électronique haute fréquence.” 2015. Doctoral Dissertation, Paris, Ecole normale supérieure. Accessed January 23, 2021. http://www.theses.fr/2015ENSU0044.

MLA Handbook (7^th Edition):

Wilmart, Quentin. “Engineering doping profils in graphene : from Dirac fermion oprtics to high frequency electronics : Ingénierie du profil de dopage dans le graphène : de l'optique des fermions de Dirac à l'électronique haute fréquence.” 2015. Web. 23 Jan 2021.

Vancouver:

Wilmart Q. Engineering doping profils in graphene : from Dirac fermion oprtics to high frequency electronics : Ingénierie du profil de dopage dans le graphène : de l'optique des fermions de Dirac à l'électronique haute fréquence. [Internet] [Doctoral dissertation]. Paris, Ecole normale supérieure; 2015. [cited 2021 Jan 23]. Available from: http://www.theses.fr/2015ENSU0044.

Council of Science Editors:

Wilmart Q. Engineering doping profils in graphene : from Dirac fermion oprtics to high frequency electronics : Ingénierie du profil de dopage dans le graphène : de l'optique des fermions de Dirac à l'électronique haute fréquence. [Doctoral Dissertation]. Paris, Ecole normale supérieure; 2015. Available from: http://www.theses.fr/2015ENSU0044

ETH Zürich

12. Andreev, Roman. Stability of space-time Petrov-Galerkin discretizations for parabolic evolution equations.

Degree: 2012, ETH Zürich

URL: http://hdl.handle.net/20.500.11850/59269

Subjects/Keywords: GALERKIN METHOD (NUMERICAL MATHEMATICS); STABILITÄT PARTIELLER DIFFERENTIALGLEICHUNGEN (ANALYSIS); EVOLUTIONSGLEICHUNGEN (ANALYSIS); EVOLUTION EQUATIONS (MATHEMATICAL ANALYSIS); GALERKIN-VERFAHREN (NUMERISCHE MATHEMATIK); FINITE-ELEMENTE-METHODE (NUMERISCHE MATHEMATIK); LINEARE OPERATOREN UND OPERATORENGLEICHUNGEN (FUNKTIONALANALYSIS); LINEAR OPERATORS AND OPERATOR EQUATIONS (FUNCTIONAL ANALYSIS); PARABOLISCHE DIFFERENTIALGLEICHUNGEN (ANALYSIS); FINITE ELEMENT METHOD (NUMERICAL MATHEMATICS); PARABOLIC DIFFERENTIAL EQUATIONS (MATHEMATICAL ANALYSIS); STABILITY OF PARTIAL DIFFERENTIAL EQUATIONS (MATHEMATICAL ANALYSIS); info:eu-repo/classification/ddc/510; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Andreev, R. (2012). Stability of space-time Petrov-Galerkin discretizations for parabolic evolution equations. (Doctoral Dissertation). ETH Zürich. Retrieved from http://hdl.handle.net/20.500.11850/59269

Chicago Manual of Style (16^th Edition):

Andreev, Roman. “Stability of space-time Petrov-Galerkin discretizations for parabolic evolution equations.” 2012. Doctoral Dissertation, ETH Zürich. Accessed January 23, 2021. http://hdl.handle.net/20.500.11850/59269.

MLA Handbook (7^th Edition):

Andreev, Roman. “Stability of space-time Petrov-Galerkin discretizations for parabolic evolution equations.” 2012. Web. 23 Jan 2021.

Vancouver:

Andreev R. Stability of space-time Petrov-Galerkin discretizations for parabolic evolution equations. [Internet] [Doctoral dissertation]. ETH Zürich; 2012. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/20.500.11850/59269.

Council of Science Editors:

Andreev R. Stability of space-time Petrov-Galerkin discretizations for parabolic evolution equations. [Doctoral Dissertation]. ETH Zürich; 2012. Available from: http://hdl.handle.net/20.500.11850/59269

Johannes Gutenberg Universität Mainz

13. Hussein, Amru. Spectral theory of differential operators on finite metric graphs and on bounded domains.

Degree: 2013, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2013/3511/

►

Die vorliegende Arbeit widmet sich der Spektraltheorie von Differentialoperatoren auf metrischen Graphen und von indefiniten Differentialoperatoren auf beschränkten Gebieten. Sie besteht aus zwei Teilen. Im… (more)

▼

Die vorliegende Arbeit widmet sich der Spektraltheorie von Differentialoperatoren auf metrischen Graphen und von indefiniten Differentialoperatoren auf beschränkten Gebieten. Sie besteht aus zwei Teilen. Im Ersten werden endliche, nicht notwendigerweise kompakte, metrische Graphen und die Hilberträume von quadratintegrierbaren Funktionen auf diesen betrachtet. Alle quasi-m-akkretiven Laplaceoperatoren auf solchen Graphen werden charakterisiert, und Abschätzungen an die negativen Eigenwerte selbstadjungierter Laplaceoperatoren werden hergeleitet. Weiterhin wird die Wohlgestelltheit eines gemischten Diffusions- und Transportproblems auf kompakten Graphen durch die Anwendung von Halbgruppenmethoden untersucht. Eine Verallgemeinerung des indefiniten Operators -tfrac{d}{dx}sgn(x)tfrac{d}{dx} von Intervallen auf metrische Graphen wird eingeführt. Die Spektral- und Streutheorie der selbstadjungierten Realisierungen wird detailliert besprochen. Im zweiten Teil der Arbeit werden Operatoren untersucht, die mit indefiniten Formen der Art langlegrad v, A(cdot)grad urangle mit u,vin H₀¹(Omega)subset L²(Omega) und ΩsubsetR^d beschränkt, assoziiert sind. Das Eigenwertverhalten entspricht in Dimension d=1 einer verallgemeinerten Weylschen Asymptotik und für dgeq 2 werden Abschätzungen an die Eigenwerte bewiesen. Die Frage, wann indefinite Formmethoden für Dimensionen dgeq 2 anwendbar sind, bleibt offen und wird diskutiert.

This thesis is devoted to the spectral theory of differential operators on metric graphs and of indefinite differential operators on bounded domains. It consists of two parts. In the first part finite not necessarily compact metric graphs and the Hilbert spaces of square integrable functions on these graphs are considered. All quasi-m-accretive Laplacians on such graphs are characterized and estimates on the negative eigenvalues of self-adjoint Laplacians are derived. Furthermore the well-posedness of a mixed transport and diffusion problem on a compact metric graph is studied in terms of semigroups. The indefinite operator -tfrac{d}{dx}sgn(x)tfrac{d}{dx} is generalized from intervals to finite metric graphs. The spectral and the scattering theory of the self-adjoint realizations are elaborated in detail. In the second part operators are studied that are associated with indefinite quadratic forms of the type langlegrad v, A(cdot)grad urangle, where u,vin H₀¹(Omega)subset L²(Omega) and ΩsubsetR^d bounded. In dimension d=1 the asymptotic distribution of eigenvalues satisfies a generalized Weyl law and for dimension dgeq2 estimates on the eigenvalues are derived. The problem when indefinite form methods apply in dimensions dgeq 2 constitutes an open problem and is discussed as well.

Subjects/Keywords: Spekraltheorie, Differentialoperatoren, Quantengraphen, Indefinite Operatoren; Spectral theory, differential operators, quantum graphs, indefinite operators; Mathematics

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APA (6^th Edition):

Hussein, A. (2013). Spectral theory of differential operators on finite metric graphs and on bounded domains. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2013/3511/

Chicago Manual of Style (16^th Edition):

Hussein, Amru. “Spectral theory of differential operators on finite metric graphs and on bounded domains.” 2013. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 23, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2013/3511/.

MLA Handbook (7^th Edition):

Hussein, Amru. “Spectral theory of differential operators on finite metric graphs and on bounded domains.” 2013. Web. 23 Jan 2021.

Vancouver:

Hussein A. Spectral theory of differential operators on finite metric graphs and on bounded domains. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2013. [cited 2021 Jan 23]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2013/3511/.

Council of Science Editors:

Hussein A. Spectral theory of differential operators on finite metric graphs and on bounded domains. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2013. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2013/3511/

NSYSU

14. Lin, Wen-huan. Decoupling of graphene from SiC(0001) surface by Au intercalation : A first-principles study.

Degree: Master, Physics, 2011, NSYSU

URL: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0214111-140556

► The atomic and electronic structures of Au-intercalated graphene buffer layer on SiC(0001) surface were investigated using first-principles calculations. The unique Dirac cone of the graphene… (more)

Subjects/Keywords: graphene; SiC; Dirac point; density functional theory

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APA (6^th Edition):

Lin, W. (2011). Decoupling of graphene from SiC(0001) surface by Au intercalation : A first-principles study. (Thesis). NSYSU. Retrieved from http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0214111-140556

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lin, Wen-huan. “Decoupling of graphene from SiC(0001) surface by Au intercalation : A first-principles study.” 2011. Thesis, NSYSU. Accessed January 23, 2021. http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0214111-140556.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lin, Wen-huan. “Decoupling of graphene from SiC(0001) surface by Au intercalation : A first-principles study.” 2011. Web. 23 Jan 2021.

Vancouver:

Lin W. Decoupling of graphene from SiC(0001) surface by Au intercalation : A first-principles study. [Internet] [Thesis]. NSYSU; 2011. [cited 2021 Jan 23]. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0214111-140556.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lin W. Decoupling of graphene from SiC(0001) surface by Au intercalation : A first-principles study. [Thesis]. NSYSU; 2011. Available from: http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0214111-140556

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

15. Mario Henrique Gomes Pacheco. Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi .

Degree: PhD, 2007, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;

►

Nesta tese analisamos o oscilador de Dirac tridimensional em um banho tÃrmico. Encontramos que o calor especÃfico do oscilador de Dirac tridimensional Ã duas vezes… (more)

Subjects/Keywords: FISICA DAS PARTICULAS ELEMENTARES E CAMPOS; MecÃnica QuÃntica RelativÃstica; EquaÃÃo de Dirac; Oscilador de Dirac; Relativistic Quantum Mechanics; Dirac equation; Dirac oscillator

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APA (6^th Edition):

Pacheco, M. H. G. (2007). Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi . (Doctoral Dissertation). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;

Chicago Manual of Style (16^th Edition):

Pacheco, Mario Henrique Gomes. “Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi .” 2007. Doctoral Dissertation, Universidade Federal do Ceará. Accessed January 23, 2021. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;.

MLA Handbook (7^th Edition):

Pacheco, Mario Henrique Gomes. “Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi .” 2007. Web. 23 Jan 2021.

Vancouver:

Pacheco MHG. Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi . [Internet] [Doctoral dissertation]. Universidade Federal do Ceará 2007. [cited 2021 Jan 23]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;.

Council of Science Editors:

Pacheco MHG. Propriedades termodinÃmicas do oscilador de Dirac e algumas contribuiÃÃes da funÃÃo theta de Jacobi . [Doctoral Dissertation]. Universidade Federal do Ceará 2007. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=804 ;

16. Conley, Kevin J. A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems.

Degree: 2008, Wake Forest University

URL: http://hdl.handle.net/10339/33585

► The Projector Augmented Wave Method (PAW) [1] provides accurate numerical approximations to the exact eigenfunctions and eigenvalues of the Kohn-Sham equations for large-scale ab-initio electronic… (more)

Subjects/Keywords: Dirac equation

8 more images…

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APA (6^th Edition):

Conley, K. J. (2008). A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems. (Thesis). Wake Forest University. Retrieved from http://hdl.handle.net/10339/33585

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Conley, Kevin J. “A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems.” 2008. Thesis, Wake Forest University. Accessed January 23, 2021. http://hdl.handle.net/10339/33585.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Conley, Kevin J. “A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems.” 2008. Web. 23 Jan 2021.

Vancouver:

Conley KJ. A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems. [Internet] [Thesis]. Wake Forest University; 2008. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10339/33585.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Conley KJ. A Dirac all-electron basis and spin-orbit coupled projector implementation of the Projector Augmented Wave Method for atomic systems. [Thesis]. Wake Forest University; 2008. Available from: http://hdl.handle.net/10339/33585

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

17. Lan, Ruomeng. On the Spectral Stability of Solitary Waves.

Degree: PhD, Mathematics, 2019, Texas A&M University

URL: http://hdl.handle.net/1969.1/188758

► We study the spectral stability of the solitary wave solutions to the nonlinear Dirac equations. We focus on two types of nonlinearity: the Soler type… (more)

Subjects/Keywords: Spectral Stability; Solitary Waves; Nonlinear Dirac Equation

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APA (6^th Edition):

Lan, R. (2019). On the Spectral Stability of Solitary Waves. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/188758

Chicago Manual of Style (16^th Edition):

Lan, Ruomeng. “On the Spectral Stability of Solitary Waves.” 2019. Doctoral Dissertation, Texas A&M University. Accessed January 23, 2021. http://hdl.handle.net/1969.1/188758.

MLA Handbook (7^th Edition):

Lan, Ruomeng. “On the Spectral Stability of Solitary Waves.” 2019. Web. 23 Jan 2021.

Vancouver:

Lan R. On the Spectral Stability of Solitary Waves. [Internet] [Doctoral dissertation]. Texas A&M University; 2019. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/1969.1/188758.

Council of Science Editors:

Lan R. On the Spectral Stability of Solitary Waves. [Doctoral Dissertation]. Texas A&M University; 2019. Available from: http://hdl.handle.net/1969.1/188758

Hong Kong University of Science and Technology

18. Dong, Chao-Ping. Spin-lowest k-types and Dirac cohomology.

Degree: 2011, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html

► This thesis studies the problem that for an irreducible unitary representation, what kind of its K-types contributes to the Dirac cohomology. We introduce spin-norm and… (more)

Subjects/Keywords: Dirac equation ; Invariants ; Representations of groups

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APA (6^th Edition):

Dong, C. (2011). Spin-lowest k-types and Dirac cohomology. (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Dong, Chao-Ping. “Spin-lowest k-types and Dirac cohomology.” 2011. Thesis, Hong Kong University of Science and Technology. Accessed January 23, 2021. http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Dong, Chao-Ping. “Spin-lowest k-types and Dirac cohomology.” 2011. Web. 23 Jan 2021.

Vancouver:

Dong C. Spin-lowest k-types and Dirac cohomology. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2011. [cited 2021 Jan 23]. Available from: http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Dong C. Spin-lowest k-types and Dirac cohomology. [Thesis]. Hong Kong University of Science and Technology; 2011. Available from: http://repository.ust.hk/ir/Record/1783.1-7531 ; https://doi.org/10.14711/thesis-b1146138 ; http://repository.ust.hk/ir/bitstream/1783.1-7531/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Hong Kong University of Science and Technology

19. Huang, Yanze. Dirac cohomology for U(m,n) and gl(m ).

Degree: 2015, Hong Kong University of Science and Technology

URL: http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html

► This thesis consists of two parts. In the ﬁrst part, we recall the deﬁnition of Dirac cohomology for category O^p and present a new proof… (more)

Subjects/Keywords: Dirac equation ; Representations of groups ; Cohomology operations

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APA (6^th Edition):

Huang, Y. (2015). Dirac cohomology for U(m,n) and gl(m ). (Thesis). Hong Kong University of Science and Technology. Retrieved from http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Huang, Yanze. “Dirac cohomology for U(m,n) and gl(m ).” 2015. Thesis, Hong Kong University of Science and Technology. Accessed January 23, 2021. http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Huang, Yanze. “Dirac cohomology for U(m,n) and gl(m ).” 2015. Web. 23 Jan 2021.

Vancouver:

Huang Y. Dirac cohomology for U(m,n) and gl(m ). [Internet] [Thesis]. Hong Kong University of Science and Technology; 2015. [cited 2021 Jan 23]. Available from: http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Huang Y. Dirac cohomology for U(m,n) and gl(m ). [Thesis]. Hong Kong University of Science and Technology; 2015. Available from: http://repository.ust.hk/ir/Record/1783.1-80213 ; https://doi.org/10.14711/thesis-b1514856 ; http://repository.ust.hk/ir/bitstream/1783.1-80213/1/th_redirect.html

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Princeton University

20. Gontijo Campos, Andre. Quantum control over vast time scales and lenght scales .

Degree: PhD, 2017, Princeton University

URL: http://arks.princeton.edu/ark:/88435/dsp01g732dc65t

► Quantum control theory (QCT) is concerned with the active manipulation of phys- ical and chemical processes on the atomic and molecular scale. For a specified… (more)

▼ Quantum control theory (QCT) is concerned with the active manipulation of phys- ical and chemical processes on the atomic and molecular scale. For a specified con- trol objective, and with restrictions imposed by many possible constraints, the time- dependent field required to manipulate the system in a desired way can be designed using quantum control theory. This dissertation proposes several novel applications of QCT to actively manipulate the dynamics of both quantum and classical systems with and without interactions with an external environment, in both relativistic and non-relativistic regimes. In Chapter 2, the paradigm of spectral dynamic mimicry (SDM) in which laser fields are shaped to make any atomic and molecular systems look identical spectrally is put forward. SDM successfully avoids optimization rou- tines, and provides a powerful tool to find a laser pulse that induces a desired optical response from an arbitrary dynamical system. As illustrations, driving fields are com- puted to induce the same optical response from a variety of distinct systems (open and closed, quantum and classical). The formulation may also be applied to design materials with specified optical characteristics. These findings reveal unexplored flex- ibilities of nonlinear optics. Little is known about the control of relativistic quantum systems. Therefore, an extension of QCT to the Dirac equation is proposed. The main contributions are: (i) Chapters 3 and 4 reach an unprecedented level of control while providing exciting new insights on the complex quantum dynamics of relativis- tic electrons. The method developed provides a very powerful tool to generate new analytical solutions to the Dirac equation, (ii) Chapters 5 and 6 present an open system interaction formalism for the Dirac equation. The presented framework en- ables efficient numerical simulations of relativistic dynamics within the von Neumann density matrix and Wigner phase space descriptions, an essential requirement for the application of QCT, (iii) Chapter 7 proposes a Lindblad model of quantum elec- trodynamics (QED). The presented formalism enables a very efficient and practical numerical method to simulate QED effects, such as the Lamb shift and the anomalous magnetic moment of the electron, for a broad variety of systems. Advisors/Committee Members: Rabitz, Herschel A (advisor).

Subjects/Keywords: Dirac equation; Phase space; Quantum Mechanics; Relativity

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Gontijo Campos, A. (2017). Quantum control over vast time scales and lenght scales . (Doctoral Dissertation). Princeton University. Retrieved from http://arks.princeton.edu/ark:/88435/dsp01g732dc65t

Chicago Manual of Style (16^th Edition):

Gontijo Campos, Andre. “Quantum control over vast time scales and lenght scales .” 2017. Doctoral Dissertation, Princeton University. Accessed January 23, 2021. http://arks.princeton.edu/ark:/88435/dsp01g732dc65t.

MLA Handbook (7^th Edition):

Gontijo Campos, Andre. “Quantum control over vast time scales and lenght scales .” 2017. Web. 23 Jan 2021.

Vancouver:

Gontijo Campos A. Quantum control over vast time scales and lenght scales . [Internet] [Doctoral dissertation]. Princeton University; 2017. [cited 2021 Jan 23]. Available from: http://arks.princeton.edu/ark:/88435/dsp01g732dc65t.

Council of Science Editors:

Gontijo Campos A. Quantum control over vast time scales and lenght scales . [Doctoral Dissertation]. Princeton University; 2017. Available from: http://arks.princeton.edu/ark:/88435/dsp01g732dc65t

21. Sok, Jérémy. Etude d'un modèle de champ moyen en électrodynamique quantique : Study of a mean-field model in quantum electrodynamics.

Degree: Docteur es, Sciences, 2014, Paris 9

URL: http://www.theses.fr/2014PA090028

►

Les modèles de champ moyen en QED apparaissent naturellement dans la modélisation du nuage électronique des atomes lourds. Cette modélisation joue un rôle croissant en… (more)

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Les modèles de champ moyen en QED apparaissent naturellement dans la modélisation du nuage électronique des atomes lourds. Cette modélisation joue un rôle croissant en physique et chimie quantique, les effets relativistes ne pouvant pas être négligés pour ces atomes. En physique quantique relativiste, le vide est un milieu polarisable, susceptible de réagir à la présence de champ électromagnétique.On se place dans le cadre du modèle variationnel de Bogoliubov-Dirac-Fock (BDF) qui est une approximation de champ moyen de la QED sans photon (en particulier, les interactions considérées sont purement électrostatiques).Il est à noter que pour donner un sens au modèle BDF, il est nécessaire d'introduire une régularisation ultra-violette. Il se produit un phénomène de renormalisation de charge due à la polarisation du vide : la charge de l'électron observée dépend de la charge « nue » de l'électron et du paramètre de régularisation. On étudie rigoureusement ce phénomène ainsi que le problème de la renormalisation de la masse. Cette dernière est en lien avec l'existence d'un état fondamental pour le système d'un électron dans le vide, en l'absence de tout champ extérieur. En revanche, on montre l'absence de minimiseurs dans le cas de deux électrons.Enfin, on exhibe des points critiques de l'énergie BDF, interprétés comme des états excités du vide. On met en évidence le positronium, système métastable d'un électron et de son antiparticule le positron, ainsi que le dipositronium, molécule métastable constituée de deux électrons et de deux positrons.Les méthodes utilisées sont variationnelles (concentration-compacité, lemme de Borwein et Preiss).

In QED, mean-field models appear in the modelling of the electron clouds of heavy atoms. This modelling plays a increasing role in physics and in quantum chemistry: relativistic effects cannot be neglected in these atoms. In relativistic quantum physics the vacuum is a polarizable medium that can react to the presence of an electromagnetic field.We consider the so-called Bogoliubov-Dirac-Fock (BDF) model, a variational model which is a mean-field approximation of no-photon QED (in particular the interactions are purely electrostatic).We point out that an ultraviolet regularisation is necessary to properly define the BDF model. The vacuum polarisation leads to a \emph{renormalisation} phenomenon, the "observed" charge of the electron depends on its "bare" charge and the regularisation parameter. We rigorously study both the problem of charge renormalisation and mass renormalisation. This last one is linked to the existence of ground state in the case of an electron in the vacuum, without any external field. In contrast, we show there is no ground state in the case of two electrons.Finally we exhibit some critical points of the BDF energy which are interpreted as vacuum excited states. In particular, there are the positronium (a metastable system constituted by an electron and its antiparticle called the positron) and the dipositronium (a metastable molecule constituted by two…

Advisors/Committee Members: Séré, Eric (thesis director).

Subjects/Keywords: Opérateur de Dirac; Mer de Dirac; Positron; Calcul des variations; Concentration-compacité; Dirac operator; Dirac sea; Positron; Calculus of variations; Concentration-compactness; 515.3

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Sok, J. (2014). Etude d'un modèle de champ moyen en électrodynamique quantique : Study of a mean-field model in quantum electrodynamics. (Doctoral Dissertation). Paris 9. Retrieved from http://www.theses.fr/2014PA090028

Chicago Manual of Style (16^th Edition):

Sok, Jérémy. “Etude d'un modèle de champ moyen en électrodynamique quantique : Study of a mean-field model in quantum electrodynamics.” 2014. Doctoral Dissertation, Paris 9. Accessed January 23, 2021. http://www.theses.fr/2014PA090028.

MLA Handbook (7^th Edition):

Sok, Jérémy. “Etude d'un modèle de champ moyen en électrodynamique quantique : Study of a mean-field model in quantum electrodynamics.” 2014. Web. 23 Jan 2021.

Vancouver:

Sok J. Etude d'un modèle de champ moyen en électrodynamique quantique : Study of a mean-field model in quantum electrodynamics. [Internet] [Doctoral dissertation]. Paris 9; 2014. [cited 2021 Jan 23]. Available from: http://www.theses.fr/2014PA090028.

Council of Science Editors:

Sok J. Etude d'un modèle de champ moyen en électrodynamique quantique : Study of a mean-field model in quantum electrodynamics. [Doctoral Dissertation]. Paris 9; 2014. Available from: http://www.theses.fr/2014PA090028

22. Borrelli, William. L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics.

Degree: Docteur es, Mathématiques, 2018, Paris Sciences et Lettres (ComUE)

URL: http://www.theses.fr/2018PSLED021

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Ces dernières années, de nouveaux matériaux bidimensionnels aux propriétés surprenantes ont été découverts, le plus connu étant le graphène. Dans ces matériaux, les électrons du… (more)

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Ces dernières années, de nouveaux matériaux bidimensionnels aux propriétés surprenantes ont été découverts, le plus connu étant le graphène. Dans ces matériaux, les électrons du niveau de Fermi ont une masse apparente nulle, et peuvent être décrits par l’équation de Dirac sans masse. Un tel phénomène apparaît dans des situations très générales, pour les matériaux bidimensionnels ayant une structure périodique en « nid d’abeille ». De plus, la prise en compte d’interactions mène à des équations de Dirac non linéaires. Ces équations apparaissent également dans l’étude des paquets d’ondes lumineuses dans certaines fibres optiques. Le but de cette thèse est d’étudier l’existence et la stabilité de solutions stationnaires de ces équations avec termes non linéaires sous-critiques et critiques, et de montrer qu’ils sont la limite de solutions stationnaires de l’équation de Schrödinger non linéaire à potentiel périodique dans certains régimes de paramètres. Du point de vue mathématique, on devra résoudre les équations d’Euler-Lagrange de fonctionnelles d'énergie fortement indéfinies faisant intervenir l’opérateur de Dirac. Il s’agira en particulier d’étudier le cas des non-linéarités avec exposant critique, encore mal comprises pour ce type de fonctionnelle, et qui apparaissent naturellement en optique non linéaire. Les résultats de cette thèse pourraient avoir un impact important en physique, en particulier en physique du solide et optique non linéaire.

Recently, new two-dimensional materials possessing unique properties have been discovered, the most famous being the graphene. In this materials, electrons at the Fermi level behave as massless particles and can be described by the massless Dirac equation. This phenomenon is quite general, and it is a common features of "honeycomb" periodic structures. Moreover, taking into account interaction leads to non-linear Dirac equations, which also appear in the description of light propagation in particular waveguides. The aim of the thesis is to study existence and stability of stationary solutions for those equations with both sub-critical and critical nonlinearities, and to show that they are limit of stationary solutions to the Schroedinger equation with honeycomb potential, for a suitable choice of parameters. This amounts to solving the Euler-Lagrange equation for strongly indefinite energy functionals, involving the Dirac operator. We will deal with critical nonlinearities, which are still poorly understood, and appear naturally in non-linear optics. This results may have an impact on the understanding some solid state or nonlinear optics systems.

Advisors/Committee Members: Séré, Eric (thesis director).

Subjects/Keywords: Equation de Dirac non-linéaire; Graphène; Méthodes variationnelles; Solutions stationnaires; Graphes quantiques; Cônes de Dirac; Non-Linear Dirac equation; Graphene; Variational methods; Stationary solutions; Quantum graphs; Dirac materials; 519

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APA (6^th Edition):

Borrelli, W. (2018). L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics. (Doctoral Dissertation). Paris Sciences et Lettres (ComUE). Retrieved from http://www.theses.fr/2018PSLED021

Chicago Manual of Style (16^th Edition):

Borrelli, William. “L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics.” 2018. Doctoral Dissertation, Paris Sciences et Lettres (ComUE). Accessed January 23, 2021. http://www.theses.fr/2018PSLED021.

MLA Handbook (7^th Edition):

Borrelli, William. “L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics.” 2018. Web. 23 Jan 2021.

Vancouver:

Borrelli W. L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics. [Internet] [Doctoral dissertation]. Paris Sciences et Lettres (ComUE); 2018. [cited 2021 Jan 23]. Available from: http://www.theses.fr/2018PSLED021.

Council of Science Editors:

Borrelli W. L'équation de Dirac en physique du solide et en optique non-lineaire : The Dirac equation in solid state physics and non-linear optics. [Doctoral Dissertation]. Paris Sciences et Lettres (ComUE); 2018. Available from: http://www.theses.fr/2018PSLED021

Loughborough University

23. Brada, Matej. Graphene electronic devices in magnetic field.

Degree: PhD, 2016, Loughborough University

URL: http://hdl.handle.net/2134/21800

► This thesis discusses the two dimensional allotrope of carbon known as graphene in presence of magnetic field, with special focus on edge states. The structure… (more)

Subjects/Keywords: 620.1; Graphene; Magnetizatoin; Edge states; Dirac equation

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APA (6^th Edition):

Brada, M. (2016). Graphene electronic devices in magnetic field. (Doctoral Dissertation). Loughborough University. Retrieved from http://hdl.handle.net/2134/21800

Chicago Manual of Style (16^th Edition):

Brada, Matej. “Graphene electronic devices in magnetic field.” 2016. Doctoral Dissertation, Loughborough University. Accessed January 23, 2021. http://hdl.handle.net/2134/21800.

MLA Handbook (7^th Edition):

Brada, Matej. “Graphene electronic devices in magnetic field.” 2016. Web. 23 Jan 2021.

Vancouver:

Brada M. Graphene electronic devices in magnetic field. [Internet] [Doctoral dissertation]. Loughborough University; 2016. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/2134/21800.

Council of Science Editors:

Brada M. Graphene electronic devices in magnetic field. [Doctoral Dissertation]. Loughborough University; 2016. Available from: http://hdl.handle.net/2134/21800

University of Guelph

24. Illes, Emilia. Properties of the α-T3 Model.

Degree: PhD, Department of Physics, 2017, University of Guelph

URL: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/11512

► The α-T3 model interpolates between the pseudospin S = 1/2 honeycomb lattice of graphene and the pseudospin S = 1 dice lattice via the parameter… (more)

Subjects/Keywords: Graphene; Dirac materials; Optical conductivity; Condensed matter

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APA (6^th Edition):

Illes, E. (2017). Properties of the α-T3 Model. (Doctoral Dissertation). University of Guelph. Retrieved from https://atrium.lib.uoguelph.ca/xmlui/handle/10214/11512

Chicago Manual of Style (16^th Edition):

Illes, Emilia. “Properties of the α-T3 Model.” 2017. Doctoral Dissertation, University of Guelph. Accessed January 23, 2021. https://atrium.lib.uoguelph.ca/xmlui/handle/10214/11512.

MLA Handbook (7^th Edition):

Illes, Emilia. “Properties of the α-T3 Model.” 2017. Web. 23 Jan 2021.

Vancouver:

Illes E. Properties of the α-T3 Model. [Internet] [Doctoral dissertation]. University of Guelph; 2017. [cited 2021 Jan 23]. Available from: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/11512.

Council of Science Editors:

Illes E. Properties of the α-T3 Model. [Doctoral Dissertation]. University of Guelph; 2017. Available from: https://atrium.lib.uoguelph.ca/xmlui/handle/10214/11512

California State University – Northridge

25. Dandurand, Julia. Using Allowable Sequences to Solve Problems in Combinatorial Graph Theory.

Degree: MS, Mathematics, 2020, California State University – Northridge

URL: http://hdl.handle.net/10211.3/215230

► An allowable sequence is an object used to encode combinatorial information about a configuration of points. The application of allowable sequences has proved useful in… (more)

Subjects/Keywords: Dirac-Motzkin Conjecture; Dissertations, Academic – CSUN – Mathematics.

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APA (6^th Edition):

Dandurand, J. (2020). Using Allowable Sequences to Solve Problems in Combinatorial Graph Theory. (Masters Thesis). California State University – Northridge. Retrieved from http://hdl.handle.net/10211.3/215230

Chicago Manual of Style (16^th Edition):

Dandurand, Julia. “Using Allowable Sequences to Solve Problems in Combinatorial Graph Theory.” 2020. Masters Thesis, California State University – Northridge. Accessed January 23, 2021. http://hdl.handle.net/10211.3/215230.

MLA Handbook (7^th Edition):

Dandurand, Julia. “Using Allowable Sequences to Solve Problems in Combinatorial Graph Theory.” 2020. Web. 23 Jan 2021.

Vancouver:

Dandurand J. Using Allowable Sequences to Solve Problems in Combinatorial Graph Theory. [Internet] [Masters thesis]. California State University – Northridge; 2020. [cited 2021 Jan 23]. Available from: http://hdl.handle.net/10211.3/215230.

Council of Science Editors:

Dandurand J. Using Allowable Sequences to Solve Problems in Combinatorial Graph Theory. [Masters Thesis]. California State University – Northridge; 2020. Available from: http://hdl.handle.net/10211.3/215230

The Ohio State University

26. Hama, Shinichi. Applications of Dirac phenomenology.

Degree: PhD, Graduate School, 1984, The Ohio State University

URL: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983

Subjects/Keywords: Physics; Dirac equation

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APA (6^th Edition):

Hama, S. (1984). Applications of Dirac phenomenology. (Doctoral Dissertation). The Ohio State University. Retrieved from http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983

Chicago Manual of Style (16^th Edition):

Hama, Shinichi. “Applications of Dirac phenomenology.” 1984. Doctoral Dissertation, The Ohio State University. Accessed January 23, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983.

MLA Handbook (7^th Edition):

Hama, Shinichi. “Applications of Dirac phenomenology.” 1984. Web. 23 Jan 2021.

Vancouver:

Hama S. Applications of Dirac phenomenology. [Internet] [Doctoral dissertation]. The Ohio State University; 1984. [cited 2021 Jan 23]. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983.

Council of Science Editors:

Hama S. Applications of Dirac phenomenology. [Doctoral Dissertation]. The Ohio State University; 1984. Available from: http://rave.ohiolink.edu/etdc/view?acc_num=osu1487257452614983

Universiteit Utrecht

27. Detassis, F. Interactions in Weyl semimetals of type I.

Degree: 2016, Universiteit Utrecht

URL: http://dspace.library.uu.nl:8080/handle/1874/335291

► The discovery of graphene opened the way to an intriguing field in condensed matter: that of Dirac materials (DM). In these materials, electrons have a… (more)

Subjects/Keywords: Weyl semimetals; Dirac material; Dirac semimetal; renormalization group; linear response; polarization function

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APA (6^th Edition):

Detassis, F. (2016). Interactions in Weyl semimetals of type I. (Masters Thesis). Universiteit Utrecht. Retrieved from http://dspace.library.uu.nl:8080/handle/1874/335291

Chicago Manual of Style (16^th Edition):

Detassis, F. “Interactions in Weyl semimetals of type I.” 2016. Masters Thesis, Universiteit Utrecht. Accessed January 23, 2021. http://dspace.library.uu.nl:8080/handle/1874/335291.

MLA Handbook (7^th Edition):

Detassis, F. “Interactions in Weyl semimetals of type I.” 2016. Web. 23 Jan 2021.

Vancouver:

Detassis F. Interactions in Weyl semimetals of type I. [Internet] [Masters thesis]. Universiteit Utrecht; 2016. [cited 2021 Jan 23]. Available from: http://dspace.library.uu.nl:8080/handle/1874/335291.

Council of Science Editors:

Detassis F. Interactions in Weyl semimetals of type I. [Masters Thesis]. Universiteit Utrecht; 2016. Available from: http://dspace.library.uu.nl:8080/handle/1874/335291

Johannes Gutenberg Universität Mainz

28. Krainer, Siegfried. Microarray based real-time analysis of nucleic acid hybridization kinetics and thermodynamics.

Degree: 2011, Johannes Gutenberg Universität Mainz

URL: http://ubm.opus.hbz-nrw.de/volltexte/2011/2798/

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Ziel dieser Dissertation ist die experimentelle Charakterisierung und quantitative Beschreibung der Hybridisierung von komplementären Nukleinsäuresträngen mit oberflächengebundenen Fängermolekülen für die Entwicklung von integrierten Biosensoren. Im… (more)

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Ziel dieser Dissertation ist die experimentelle Charakterisierung und quantitative Beschreibung der Hybridisierung von komplementären Nukleinsäuresträngen mit oberflächengebundenen Fängermolekülen für die Entwicklung von integrierten Biosensoren. Im Gegensatz zu lösungsbasierten Verfahren ist mit Microarray Substraten die Untersuchung vieler Nukleinsäurekombinationen parallel möglich. Als biologisch relevantes Evaluierungssystem wurde das in Eukaryoten universell exprimierte Actin Gen aus unterschiedlichen Pflanzenspezies verwendet. Dieses Testsystem ermöglicht es, nahe verwandte Pflanzenarten auf Grund von geringen Unterschieden in der Gen-Sequenz (SNPs) zu charakterisieren. Aufbauend auf dieses gut studierte Modell eines House-Keeping Genes wurde ein umfassendes Microarray System, bestehend aus kurzen und langen Oligonukleotiden (mit eingebauten LNA-Molekülen), cDNAs sowie DNA und RNA Targets realisiert. Damit konnte ein für online Messung optimiertes Testsystem mit hohen Signalstärken entwickelt werden. Basierend auf den Ergebnissen wurde der gesamte Signalpfad von Nukleinsärekonzentration bis zum digitalen Wert modelliert. Die aus der Entwicklung und den Experimenten gewonnen Erkenntnisse über die Kinetik und Thermodynamik von Hybridisierung sind in drei Publikationen zusammengefasst die das Rückgrat dieser Dissertation bilden. Die erste Publikation beschreibt die Verbesserung der Reproduzierbarkeit und Spezifizität von Microarray Ergebnissen durch online Messung von Kinetik und Thermodynamik gegenüber endpunktbasierten Messungen mit Standard Microarrays. Für die Auswertung der riesigen Datenmengen wurden zwei Algorithmen entwickelt, eine reaktionskinetische Modellierung der Isothermen und ein auf der Fermi-Dirac Statistik beruhende Beschreibung des Schmelzüberganges. Diese Algorithmen werden in der zweiten Publikation beschrieben. Durch die Realisierung von gleichen Sequenzen in den chemisch unterschiedlichen Nukleinsäuren (DNA, RNA und LNA) ist es möglich, definierte Unterschiede in der Konformation des Riboserings und der C5-Methylgruppe der Pyrimidine zu untersuchen. Die kompetitive Wechselwirkung dieser unterschiedlichen Nukleinsäuren gleicher Sequenz und die Auswirkungen auf Kinetik und Thermodynamik ist das Thema der dritten Publikation. Neben der molekularbiologischen und technologischen Entwicklung im Bereich der Sensorik von Hybridisierungsreaktionen oberflächengebundener Nukleinsäuremolekülen, der automatisierten Auswertung und Modellierung der anfallenden Datenmengen und der damit verbundenen besseren quantitativen Beschreibung von Kinetik und Thermodynamik dieser Reaktionen tragen die Ergebnisse zum besseren Verständnis der physikalisch-chemischen Struktur des elementarsten biologischen Moleküls und seiner nach wie vor nicht vollständig verstandenen Spezifizität bei.

This thesis comprises the development of a real-time measurement system for the detection of hybridization and temperature induced denaturation of surface immobilized nucleic acid including the analysis of the kinetic and…

Subjects/Keywords: Microarray, Biochip, Fermi-Dirac, Nucleinsäuren,; Microarray, Biochip, Fermi-Dirac, Nucleic Acid hybridization,; Generalities, Science

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APA (6^th Edition):

Krainer, S. (2011). Microarray based real-time analysis of nucleic acid hybridization kinetics and thermodynamics. (Doctoral Dissertation). Johannes Gutenberg Universität Mainz. Retrieved from http://ubm.opus.hbz-nrw.de/volltexte/2011/2798/

Chicago Manual of Style (16^th Edition):

Krainer, Siegfried. “Microarray based real-time analysis of nucleic acid hybridization kinetics and thermodynamics.” 2011. Doctoral Dissertation, Johannes Gutenberg Universität Mainz. Accessed January 23, 2021. http://ubm.opus.hbz-nrw.de/volltexte/2011/2798/.

MLA Handbook (7^th Edition):

Krainer, Siegfried. “Microarray based real-time analysis of nucleic acid hybridization kinetics and thermodynamics.” 2011. Web. 23 Jan 2021.

Vancouver:

Krainer S. Microarray based real-time analysis of nucleic acid hybridization kinetics and thermodynamics. [Internet] [Doctoral dissertation]. Johannes Gutenberg Universität Mainz; 2011. [cited 2021 Jan 23]. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2011/2798/.

Council of Science Editors:

Krainer S. Microarray based real-time analysis of nucleic acid hybridization kinetics and thermodynamics. [Doctoral Dissertation]. Johannes Gutenberg Universität Mainz; 2011. Available from: http://ubm.opus.hbz-nrw.de/volltexte/2011/2798/

29. Marcos Ferreira de Melo. ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis.

Degree: PhD, 2008, Universidade Federal do Ceará

URL: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;

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Neste trabalho, demonstramos teoremas estabelecendo condiÃÃes suficientes para a existÃncia de imersÃes isomÃtricas com curvatura extrÃnseca prescrita em grupos de Lie nilpotentes e solÃveis. Obtemos… (more)

Subjects/Keywords: variedades riemanianas; superfÃcies mÃnimas; GEOMETRIA DIFERENCIAL; Dirac equation; Riemannian manifolds; minimal surfaces; Dirac, equaÃÃo de

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APA (6^th Edition):

Melo, M. F. d. (2008). ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis. (Doctoral Dissertation). Universidade Federal do Ceará. Retrieved from http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;

Chicago Manual of Style (16^th Edition):

Melo, Marcos Ferreira de. “ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis.” 2008. Doctoral Dissertation, Universidade Federal do Ceará. Accessed January 23, 2021. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;.

MLA Handbook (7^th Edition):

Melo, Marcos Ferreira de. “ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis.” 2008. Web. 23 Jan 2021.

Vancouver:

Melo MFd. ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis. [Internet] [Doctoral dissertation]. Universidade Federal do Ceará 2008. [cited 2021 Jan 23]. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;.

Council of Science Editors:

Melo MFd. ImersÃes isomÃtricas em grupos de Lie nilpotentes e solÃveis. [Doctoral Dissertation]. Universidade Federal do Ceará 2008. Available from: http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5541 ;

30. Milicevic, Marijana. Manipulation of Dirac Cones and Edge states in Polariton Honeycomb Lattices : Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles.

Degree: Docteur es, Photonique, 2018, Sorbonne université

URL: http://www.theses.fr/2018SORUS515

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Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles

The engineering of Dirac matter using photonic materials… (more)

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Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles

The engineering of Dirac matter using photonic materials opens unhindered opportunities to explore unconventional transport and novel topological phases. Thanks to the direct optical access to the spatial and momentum wavefunctions and spectrum exciton polaritons in semiconductor microcavities appear as an extraordinary platform to emulate 1D and 2D Hamiltonians, including Dirac Hamiltonians. By etching a GaAs-based microcavity, a honeycomb lattice for polaritons has been fabricated. The lowest two bands of this structure emulate for photons the π and π* bands of graphene. Remarkably, the system also permits exploring orbital degrees of freedom, inaccessible in actual graphene. In the first part of this thesis a polariton emulator is used to address the physics of edge states in a honeycomb lattice. New edge states, with flat and dispersive bands, have been discovered and visualised in orbital graphene.In the second part of the thesis we demonstrate experimentally a method to tailor the Dirac dispersion for photons. By implementing uni-axial strain in the honeycomb lattice, Dirac photons that combine zero, finite and infinite effective masses are created. The experimental and theoretical results here presented open new perspectives for the engineering of interfaces between photonic lattices with different types of Dirac dispersions. Furthermore, the excitonic component of polaritons assures sensitivity to external magnetic fields, providing the possibility to break the time reversal symmetry of the system and to study photonic topological edge states in exotic Dirac cones. Finally, nonlinear Dirac physics can be probed in this system owing to polariton-polariton interactions. The engineering of Dirac matter using photonic materials opens unhindered opportunities to explore unconventional transport and novel topological phases. Thanks to the direct optical access to the spatial and momentum wavefunctions and spectrum exciton polaritons in semiconductor microcavities appear as an extraordinary platform to emulate 1D and 2D Hamiltonians, including Dirac Hamiltonians. By etching a GaAs-based microcavity, a honeycomb lattice for polaritons has been fabricated. The lowest two bands of this structure emulate for photons the π and π* bands of graphene. Remarkably, the system also permits exploring orbital degrees of freedom, inaccessible in actual graphene. In the first part of this thesis a polariton emulator is used to address the physics of edge states in a honeycomb lattice. New edge states, with flat and dispersive bands, have been discovered and visualised in orbital graphene. In the second part of the thesis we demonstrate experimentally a method to tailor the Dirac dispersion for photons. By implementing uni-axial strain in the honeycomb lattice, Dirac photons that combine zero, finite and infinite effective masses are created. The experimental and theoretical results here presented open new perspectives for the…

Advisors/Committee Members: Bloch, Jacqueline (thesis director).

Subjects/Keywords: Polaritons; Graphène; Topologie; Simulateur; Dirac; États de bord; Polaritons; Dirac; Topology; 621.365

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APA (6^th Edition):

Milicevic, M. (2018). Manipulation of Dirac Cones and Edge states in Polariton Honeycomb Lattices : Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles. (Doctoral Dissertation). Sorbonne université. Retrieved from http://www.theses.fr/2018SORUS515

Chicago Manual of Style (16^th Edition):

Milicevic, Marijana. “Manipulation of Dirac Cones and Edge states in Polariton Honeycomb Lattices : Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles.” 2018. Doctoral Dissertation, Sorbonne université. Accessed January 23, 2021. http://www.theses.fr/2018SORUS515.

MLA Handbook (7^th Edition):

Milicevic, Marijana. “Manipulation of Dirac Cones and Edge states in Polariton Honeycomb Lattices : Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles.” 2018. Web. 23 Jan 2021.

Vancouver:

Milicevic M. Manipulation of Dirac Cones and Edge states in Polariton Honeycomb Lattices : Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles. [Internet] [Doctoral dissertation]. Sorbonne université; 2018. [cited 2021 Jan 23]. Available from: http://www.theses.fr/2018SORUS515.

Council of Science Editors:

Milicevic M. Manipulation of Dirac Cones and Edge states in Polariton Honeycomb Lattices : Manipulation de cônes de Dirac et états de bord dans des réseaux de polaritons en nid d’abeilles. [Doctoral Dissertation]. Sorbonne université; 2018. Available from: http://www.theses.fr/2018SORUS515

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