The treatment of exchange in path integral simulations via an approximate pseudopotential
Author(s) -
Randall W. Hall
Publication year - 1988
Publication title -
the journal of chemical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.071
H-Index - 357
eISSN - 1089-7690
pISSN - 0021-9606
DOI - 10.1063/1.454805
Subject(s) - propagator , pseudopotential , path integral formulation , fermion , harmonic , ideal (ethics) , ideal gas , path (computing) , physics , quantum mechanics , mathematics , quantum electrodynamics , quantum , philosophy , epistemology , computer science , programming language
An approximate form that includes the effects of exchange is suggested for the short time propagator used in path integral simulations. The form is inspired physically by the approximation made in Hartree–Fock treatments of atoms and molecules. The approximate propagator is used with quantitative accuracy in two systems: an ideal gas of fermions localized in a three‐dimensional harmonic well and the triplet state of the sodium dimer.
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