Calculation of ground states for many-fermion systems

Journal Article · Mon May 15 04:00:00 EDT 1989 · Annals of Physics (New York); (USA)

DOI:https://doi.org/10.1016/0003-4916(89)90121-8· OSTI ID:5394304

Nagele, J W; Brommer, K D ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science, (US) Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

A new method is presented for the exact stochastic solution of the ground states of many-Fermion systems. The antisymmetric ground state wavefunction is expressed as the difference between two positive functions, and the non-linear coupled Schrordinger equation for these functions is solved by a generalized path integral Monte Carlo technique. The method is tested on a two-dimensional example, and its applicability to realistic problems is discussed. {copyright} 1989 Academic Press, Inc.

• OSTI ID: 5394304
• Journal Information: Annals of Physics (New York); (USA), Journal Name: Annals of Physics (New York); (USA) Vol. 192:1; ISSN 0003-4916; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
ENERGY LEVELS
EQUATIONS
FERMIONS
FEYNMAN PATH INTEGRAL
FUNCTIONS
GROUND STATES
INTEGRALS
MANY-BODY PROBLEM
MARKOV PROCESS
MONTE CARLO METHOD
PARTIAL DIFFERENTIAL EQUATIONS
SCHROEDINGER EQUATION
STOCHASTIC PROCESSES
TWO-DIMENSIONAL CALCULATIONS
WAVE EQUATIONS
WAVE FUNCTIONS