Auxiliary field Monte Carlo for quantum many-body systems

Thesis/Dissertation · Tue Jan 01 00:00:00 EST 1985

OSTI ID:5734750

Sugiyama, G

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 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.

• Research Organization: California Inst. of Tech., Pasadena (USA)
• OSTI ID: 5734750
• Resource Relation: Other Information: Thesis (Ph. D.)
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
MANY-BODY PROBLEM
FERMIONS
QUANTUM MECHANICS
GROUND STATES
SCHROEDINGER EQUATION
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics