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Auxiliary Field Monte-Carlo for Quantum Many-Body Systems

Citation

Sugiyama, Gayle A. (1985) Auxiliary Field Monte-Carlo for Quantum Many-Body Systems. Dissertation (Ph.D.), California Institute of Technology. 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.))
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):
  • Koonin, Steven E.
Thesis Committee:
  • Barnes, Charles A. (chair)
  • Fox, Geoffrey C.
  • Cross, Michael Clifford
  • Frautschi, Steven C.
  • Koonin, Steven E.
Defense Date:6 July 1984
Record Number:CaltechTHESIS:01072019-110818820
Persistent URL:https://resolver.caltech.edu/CaltechTHESIS:01072019-110818820
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:11335
Collection:CaltechTHESIS
Deposited By: Lisa Fischelis
Deposited On:07 Jan 2019 21:32
Last Modified:02 Dec 2020 01:36

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