Open Access Theses and Dissertations

Advanced search options

Advanced Search Options 🞨

Browse by author name (“Author name starts with…”).

Find ETDs with:

in
/  
in
/  
in
/  
in

Written in Published in Earliest date Latest date

Sorted by

Results per page:

Sorted by: relevance · author · university · date | New search

You searched for subject:(NCCM). Showing records 1 – 2 of 2 total matches.

Search Limiters

Last 2 Years | English Only

No search limiters apply to these results.

▼ Search Limiters


University of Manchester

1. Snape, Christopher. Applications of the Coupled Cluster Method to Pairing Problems.

Degree: 2010, University of Manchester

URL: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:78351 

The phenomenon of pairing in atomic and nuclear many-body systems gives rise to a great number of different physical properties of matter, from areas as seemingly diverse as the shape of stable nuclei to superconductivity in metals and superfluidity in neutron stars. With the experimental realisation of the long sought BCS-BEC crossover observed in trapped atomic gases - where it is possible to fine tune the s-wave scattering length a of a many-fermion system between a dilute, correlated BCS-like superfluid of Cooper pairs and a densely packed BEC of composite bosons - pairing problems in atomic physics have found renewed interest in recent years. Given the high precision techniques involved in producing these trapped gas condensates, we would like to employ a suitably accurate many-body method to study such systems, preferably one which goes beyond the simple mean-field picture.The Coupled Cluster Method (CCM) is a widely applied and highly successful ab initio method in the realm of quantum many-body physics and quantum chemistry, known to be capable of producing extremely accurate results for a wide variety of different many-body systems. It has not found many applications in pairing problems however, at least not in a general sense. Our aim, therefore, is to study various models of pairing using a variety of CCM techniques - we are interested in studying the generic features of pairing problems and in particular, we are especially interested in probing the collective modes of a system which exhibits the BCS-BEC crossover, in either the BCS or BEC limit. The CCM seems a rather good candidate for the job, given the high precision results it can produce. Advisors/Committee Members: Walet, Niels.

Subjects/Keywords: Normal Extended Coupled Cluster Method; Quartic Anharmonic Oscillator; Double Well Anharmonic Oscillator; SU(2) quasi spin pairing; BCS theory; BCS BEC Crossover; Ultracold Fermi Atom Gas; CCM; NCCM; ECCM

Record Details  Similar Records    Google PlusoneFacebookTwitterCiteULikeMendeleyreddit

❌

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

APA (6th Edition):

Snape, C. (2010). Applications of the Coupled Cluster Method to Pairing Problems. (Doctoral Dissertation). University of Manchester. Retrieved from http://www.manchester.ac.uk/escholar/uk-ac-man-scw:78351

Chicago Manual of Style (16th Edition):

Snape, Christopher. “Applications of the Coupled Cluster Method to Pairing Problems.” 2010. Doctoral Dissertation, University of Manchester. Accessed January 16, 2021. http://www.manchester.ac.uk/escholar/uk-ac-man-scw:78351.

MLA Handbook (7th Edition):

Snape, Christopher. “Applications of the Coupled Cluster Method to Pairing Problems.” 2010. Web. 16 Jan 2021.

Vancouver:

Snape C. Applications of the Coupled Cluster Method to Pairing Problems. [Internet] [Doctoral dissertation]. University of Manchester; 2010. [cited 2021 Jan 16]. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:78351.

Council of Science Editors:

Snape C. Applications of the Coupled Cluster Method to Pairing Problems. [Doctoral Dissertation]. University of Manchester; 2010. Available from: http://www.manchester.ac.uk/escholar/uk-ac-man-scw:78351


University of Manchester

2. Snape, Christopher. Applications of the coupled cluster method to pairing problems.

Degree: PhD, 2010, University of Manchester

URL: https://www.research.manchester.ac.uk/portal/en/theses/applications-of-the-coupled-cluster-method-to-pairing-problems(c6d69fd0-25cf-4693-ba91-96872c11fc6d).html  ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515111 

The phenomenon of pairing in atomic and nuclear many-body systems gives rise to a great number of different physical properties of matter, from areas as seemingly diverse as the shape of stable nuclei to superconductivity in metals and superfluidity in neutron stars. With the experimental realisation of the long sought BCS-BEC crossover observed in trapped atomic gases - where it is possible to fine tune the s-wave scattering length a of a many-fermion system between a dilute, correlated BCS-like superfluid of Cooper pairs and a densely packed BEC of composite bosons - pairing problems in atomic physics have found renewed interest in recent years. Given the high precision techniques involved in producing these trapped gas condensates, we would like to employ a suitably accurate many-body method to study such systems, preferably one which goes beyond the simple mean-field picture.The Coupled Cluster Method (CCM) is a widely applied and highly successful ab initio method in the realm of quantum many-body physics and quantum chemistry, known to be capable of producing extremely accurate results for a wide variety of different many-body systems. It has not found many applications in pairing problems however, at least not in a general sense. Our aim, therefore, is to study various models of pairing using a variety of CCM techniques - we are interested in studying the generic features of pairing problems and in particular, we are especially interested in probing the collective modes of a system which exhibits the BCS-BEC crossover, in either the BCS or BEC limit. The CCM seems a rather good candidate for the job, given the high precision results it can produce.

Subjects/Keywords: 539.7; Normal Extended Coupled Cluster Method; Quartic Anharmonic Oscillator; Double Well Anharmonic Oscillator; SU(2) quasi spin pairing; BCS theory; BCS BEC Crossover; Ultracold Fermi Atom Gas; CCM; NCCM; ECCM

Record Details  Similar Records    Google PlusoneFacebookTwitterCiteULikeMendeleyreddit

❌

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

APA (6th Edition):

Snape, C. (2010). Applications of the coupled cluster method to pairing problems. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/applications-of-the-coupled-cluster-method-to-pairing-problems(c6d69fd0-25cf-4693-ba91-96872c11fc6d).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515111

Chicago Manual of Style (16th Edition):

Snape, Christopher. “Applications of the coupled cluster method to pairing problems.” 2010. Doctoral Dissertation, University of Manchester. Accessed January 16, 2021. https://www.research.manchester.ac.uk/portal/en/theses/applications-of-the-coupled-cluster-method-to-pairing-problems(c6d69fd0-25cf-4693-ba91-96872c11fc6d).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515111.

MLA Handbook (7th Edition):

Snape, Christopher. “Applications of the coupled cluster method to pairing problems.” 2010. Web. 16 Jan 2021.

Vancouver:

Snape C. Applications of the coupled cluster method to pairing problems. [Internet] [Doctoral dissertation]. University of Manchester; 2010. [cited 2021 Jan 16]. Available from: https://www.research.manchester.ac.uk/portal/en/theses/applications-of-the-coupled-cluster-method-to-pairing-problems(c6d69fd0-25cf-4693-ba91-96872c11fc6d).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515111.

Council of Science Editors:

Snape C. Applications of the coupled cluster method to pairing problems. [Doctoral Dissertation]. University of Manchester; 2010. Available from: https://www.research.manchester.ac.uk/portal/en/theses/applications-of-the-coupled-cluster-method-to-pairing-problems(c6d69fd0-25cf-4693-ba91-96872c11fc6d).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.515111

.