Monte carlo evaluation of functional integrals using coherent-state slater determinants

Y. Avishai; J. Richert

doi:10.1103/PhysRevLett.50.1175

Monte carlo evaluation of functional integrals using coherent-state slater determinants

Y. Avishai, J. Richert

Department of Physics

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Abstract

The feasibility of using Monte Carlo methods in finite fermion systems has been investigated. The basic tool is a (recently suggested) functional integral representation of Z=tr[exp(-βII)] using real coherent states of Slater determinants. Conditions for using the discretized (N-point lattice) version as a starting point for Monte Carlo integrations are studied. The limit of large β is achieved only with large N. For a two-fermion system numerical calculations of the ground-state energy agree farily well with the exact value.

Original language	English
Pages (from-to)	1175-1178
Number of pages	4
Journal	Physical Review Letters
Volume	50
Issue number	16
DOIs	https://doi.org/10.1103/PhysRevLett.50.1175
State	Published - 1 Jan 1983

ASJC Scopus subject areas

General Physics and Astronomy

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10.1103/PhysRevLett.50.1175

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title = "Monte carlo evaluation of functional integrals using coherent-state slater determinants",

abstract = "The feasibility of using Monte Carlo methods in finite fermion systems has been investigated. The basic tool is a (recently suggested) functional integral representation of Z=tr[exp(-βII)] using real coherent states of Slater determinants. Conditions for using the discretized (N-point lattice) version as a starting point for Monte Carlo integrations are studied. The limit of large β is achieved only with large N. For a two-fermion system numerical calculations of the ground-state energy agree farily well with the exact value.",

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AB - The feasibility of using Monte Carlo methods in finite fermion systems has been investigated. The basic tool is a (recently suggested) functional integral representation of Z=tr[exp(-βII)] using real coherent states of Slater determinants. Conditions for using the discretized (N-point lattice) version as a starting point for Monte Carlo integrations are studied. The limit of large β is achieved only with large N. For a two-fermion system numerical calculations of the ground-state energy agree farily well with the exact value.

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Monte carlo evaluation of functional integrals using coherent-state slater determinants

Abstract

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