Green's function Monte Carlo for few fermion problems

D. M. Arnow, M. H. Kalos, Michael A. Lee, Kevin Schmidt

Research output: Contribution to journalArticle

70 Citations (Scopus)

Abstract

The Green's function Monte Carlo method used for obtaining exact solutions to the Schrödinger equation of boson systems is generalized to treat systems of several fermions. We show that when it is possible to select eigenfunctions of the Hamiltonian based on physical symmetries, the GFMC method can be used to yield the lowest energy state of that symmetry. In particular, the lowest totally antisymmetric eigenfunction, the fermion ground state, can be obtained. Calculations on several two- and three-body model problems show the method to be computationally feasible for few-body systems.

Original languageEnglish (US)
Pages (from-to)5562-5572
Number of pages11
JournalThe Journal of Chemical Physics
Volume77
Issue number11
StatePublished - 1982
Externally publishedYes

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Fermions
Green's function
Eigenvalues and eigenfunctions
Green's functions
fermions
Hamiltonians
Bosons
Crystal symmetry
eigenvectors
Electron energy levels
Ground state
Monte Carlo methods
symmetry
Monte Carlo method
bosons
ground state
energy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Arnow, D. M., Kalos, M. H., Lee, M. A., & Schmidt, K. (1982). Green's function Monte Carlo for few fermion problems. The Journal of Chemical Physics, 77(11), 5562-5572.

Green's function Monte Carlo for few fermion problems. / Arnow, D. M.; Kalos, M. H.; Lee, Michael A.; Schmidt, Kevin.

In: The Journal of Chemical Physics, Vol. 77, No. 11, 1982, p. 5562-5572.

Research output: Contribution to journalArticle

Arnow, DM, Kalos, MH, Lee, MA & Schmidt, K 1982, 'Green's function Monte Carlo for few fermion problems', The Journal of Chemical Physics, vol. 77, no. 11, pp. 5562-5572.
Arnow, D. M. ; Kalos, M. H. ; Lee, Michael A. ; Schmidt, Kevin. / Green's function Monte Carlo for few fermion problems. In: The Journal of Chemical Physics. 1982 ; Vol. 77, No. 11. pp. 5562-5572.
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