Green's function Monte Carlo method for liquid He3

Michael A. Lee; K. E. Schmidt; M. H. Kalos; G. V. Chester

doi:10.1103/PhysRevLett.46.728

Green's function Monte Carlo method for liquid He3

Michael A. Lee, K. E. Schmidt, M. H. Kalos, G. V. Chester

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85 Scopus citations

Abstract

The Green's-function Monte Carlo method, which yields an exact ground-state solution to the Schrödinger equation for Bose systems, is applied to liquid He3, a fermion system. With the use of a technique that projects out states of selected symmetry, strict upper bounds to the ground-state energy of many-fermion systems have been constructed. An upper bound has been found for liquid He3 of - 2.200.05°K at the experimental equilibrium density. This energy is more than 1°K below Jastrow variational results and much nearer the experimental value of - 2.470.01°K.

Original language	English (US)
Pages (from-to)	728-731
Number of pages	4
Journal	Physical Review Letters
Volume	46
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.46.728
State	Published - 1981
Externally published	Yes

ASJC Scopus subject areas

General Physics and Astronomy

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title = "Green's function Monte Carlo method for liquid He3",

abstract = "The Green's-function Monte Carlo method, which yields an exact ground-state solution to the Schr{\"o}dinger equation for Bose systems, is applied to liquid He3, a fermion system. With the use of a technique that projects out states of selected symmetry, strict upper bounds to the ground-state energy of many-fermion systems have been constructed. An upper bound has been found for liquid He3 of - 2.200.05°K at the experimental equilibrium density. This energy is more than 1°K below Jastrow variational results and much nearer the experimental value of - 2.470.01°K.",

author = "Lee, {Michael A.} and Schmidt, {K. E.} and Kalos, {M. H.} and Chester, {G. V.}",

year = "1981",

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AU - Lee, Michael A.

AU - Schmidt, K. E.

AU - Kalos, M. H.

AU - Chester, G. V.

PY - 1981

Y1 - 1981

N2 - The Green's-function Monte Carlo method, which yields an exact ground-state solution to the Schrödinger equation for Bose systems, is applied to liquid He3, a fermion system. With the use of a technique that projects out states of selected symmetry, strict upper bounds to the ground-state energy of many-fermion systems have been constructed. An upper bound has been found for liquid He3 of - 2.200.05°K at the experimental equilibrium density. This energy is more than 1°K below Jastrow variational results and much nearer the experimental value of - 2.470.01°K.

AB - The Green's-function Monte Carlo method, which yields an exact ground-state solution to the Schrödinger equation for Bose systems, is applied to liquid He3, a fermion system. With the use of a technique that projects out states of selected symmetry, strict upper bounds to the ground-state energy of many-fermion systems have been constructed. An upper bound has been found for liquid He3 of - 2.200.05°K at the experimental equilibrium density. This energy is more than 1°K below Jastrow variational results and much nearer the experimental value of - 2.470.01°K.

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Green's function Monte Carlo method for liquid He3

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