Stochastic simulation of fermions
Conference
·
· J. Stat. Phys.; (United States)
OSTI ID:6910804
The Schrodinger equation for bosons or for distinguishable particles can be formally transformed into a Fokker-Planck equation. The stationary time dependent correlation functions of the corresponding stochastic process (Langevin equation) coincide with the imaginary time quantum correlation functions. This relation can be used, e.g., to obtain information on the lower-lying spectrum by numerical simulation. In this note we discuss the extension of these ideas for the treatment of fermions in one dimension, and some of the problems that appear in higher dimensions.
- Research Organization:
- Univ. de Geneve, Geneve
- OSTI ID:
- 6910804
- Report Number(s):
- CONF-8509213-
- Conference Information:
- Journal Name: J. Stat. Phys.; (United States) Journal Volume: 43:5/6
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
LANGEVIN EQUATION
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SIMULATION
STOCHASTIC PROCESSES
WAVE EQUATIONS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOSONS
COMPUTERIZED SIMULATION
CORRELATION FUNCTIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FERMIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
LANGEVIN EQUATION
MECHANICS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SIMULATION
STOCHASTIC PROCESSES
WAVE EQUATIONS