Citation
Sugiyama, Gayle A. (1985) Auxiliary Field Monte-Carlo for Quantum Many-Body Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/t9kp-qe57. https://resolver.caltech.edu/CaltechTHESIS:01072019-110818820
Abstract
An algorithm is developed for determining the exact ground state properties of quantum many-body systems which is equally applicable to bosons and fermions. The Schroedinger eigenvalue equation for the ground state energy is recast into the form of a many-dimensional integral through the use of the Hubbard-Stratonovitch representation of the imaginary time many- body evolution operator. The resulting functional integral is then evaluated stochastically. The algorithm is tested for an exactly soluble boson system and is then extended to include fermions and repulsive potentials. Importance sampling is crucial to the success of the method, particularly for more complex systems. Improved computational efficiency is attained by performing the calculations in momentum space.
| Item Type: | Thesis (Dissertation (Ph.D.)) |
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| Subject Keywords: | Physics |
| Degree Grantor: | California Institute of Technology |
| Division: | Physics, Mathematics and Astronomy |
| Major Option: | Physics |
| Thesis Availability: | Public (worldwide access) |
| Research Advisor(s): |
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| Thesis Committee: |
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| Defense Date: | 6 July 1984 |
| Record Number: | CaltechTHESIS:01072019-110818820 |
| Persistent URL: | https://resolver.caltech.edu/CaltechTHESIS:01072019-110818820 |
| DOI: | 10.7907/t9kp-qe57 |
| Default Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. |
| ID Code: | 11335 |
| Collection: | CaltechTHESIS |
| Deposited By: | INVALID USER |
| Deposited On: | 07 Jan 2019 21:32 |
| Last Modified: | 16 Apr 2021 23:17 |
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