PATH INTEGRAL CALCULATION OF THE TWOPARTICLE SLATER SUM FOR HE4,

Abstract

The Wiener integral formulation combined with Monte Carlo sampling has been used to compute the two-particle Slater sum for He4 for temperatures ranging from 273K down to 2K, the lower practical limit for this computational method. This is equivalent to a calculation of the density independent part of the pair distribution function. A Lennard-Jones 6-12 potential has been used to describe the interaction. Contributions from exchange were found negligible at 5K and above. Comparisons with the WignerKirkwood expansion are made. The second virial coefficients derived from these results are within two per cent or three per cent of the results obtained from the usual phase shift calculation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 20, 1965
Accession Number
AD0623398

Entities

People

  • Harry F. Jordan
  • Lloyd D. Fosdick

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computational Science
  • Distribution Functions
  • Integrals
  • Mathematics
  • Particles
  • Path Integrals
  • Phase Shift

Readers

  • Calculus or Mathematical Analysis
  • Quantum Chemistry
  • Regression Analysis.