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Michigan State University

1. Morris, Titus Dan. Systematic improvements of ab-initio in-medium similarity renormalization group calculations.

Degree: 2016, Michigan State University

Thesis Ph. D. Michigan State University. Physics 2016

The In-Medium Similarity Renormalization Group (IM-SRG) is an ab initio many-body method that has enjoyed increasing prominence in nuclear theory, due to its soft polynomial scaling with system size, and the flexibility to target ground and excited states of both closed- and open-shell systems. Despite many successful applications of the IM-SRG to microscopic calculations of medium-mass nuclei in recent years, the conventional formulation of the method suffers a number of limitations. Key amongst these are i) large memory demands that limit calculations in heavier systems and render the calculation of observables besides energy spectra extremely difficult, and ii) the lack of a computationally feasible sequence of improved approximations that converge to the exact solution in the appropriate limit, thereby verifying that the IM-SRG is systematically improvable. In this thesis, I present a novel formulation of the IM-SRG based on the Magnus expansion. I will show that this improved formulation, guided by intuition gleaned from a diagrammatic analysis of the perturbative content of different truncations and parallels with coupled-cluster theory, allows one to bypass the computational limitations of traditional implementations, and provides computationally viable approximations that go beyond the truncations used to date. The effectiveness of the new Magnus formulation is illustrated for several many-nucleon and many-electron systems.

Description based on online resource;

Advisors/Committee Members: Bogner, Scott K, Dykman, Mark, Hjorth-Jensen, Morten, Nunes, Filomena, Piecuch, Piotr.

Subjects/Keywords: Nuclear physics – Mathematical models; Mass (Physics) – Measurement; Physics; Nuclear physics and radiation

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

APA (6th Edition):

Morris, T. D. (2016). Systematic improvements of ab-initio in-medium similarity renormalization group calculations. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:3864

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

Chicago Manual of Style (16th Edition):

Morris, Titus Dan. “Systematic improvements of ab-initio in-medium similarity renormalization group calculations.” 2016. Thesis, Michigan State University. Accessed September 26, 2020. http://etd.lib.msu.edu/islandora/object/etd:3864.

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

MLA Handbook (7th Edition):

Morris, Titus Dan. “Systematic improvements of ab-initio in-medium similarity renormalization group calculations.” 2016. Web. 26 Sep 2020.

Vancouver:

Morris TD. Systematic improvements of ab-initio in-medium similarity renormalization group calculations. [Internet] [Thesis]. Michigan State University; 2016. [cited 2020 Sep 26]. Available from: http://etd.lib.msu.edu/islandora/object/etd:3864.

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

Council of Science Editors:

Morris TD. Systematic improvements of ab-initio in-medium similarity renormalization group calculations. [Thesis]. Michigan State University; 2016. Available from: http://etd.lib.msu.edu/islandora/object/etd:3864

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

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