Green's function Monte Carlo for few fermion problems

D. M. Arnow, M. H. Kalos, Michael A. Lee, K. E. Schmidt

Research output: Contribution to journalArticle

70 Scopus citations

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
DOIs
StatePublished - Jan 1 1982
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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