Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. II. Diagonal Approximation in Position Space
Statistical Mechanics
2026-03-04 v1 Quantum Gases
Quantum Physics
Abstract
A third order expansion for Wigner-Kirkwood commutation function, a complex function in classical phase space that accounts for the Heisenberg uncertainty relation, is approximated and integrated over momentum to give a real function in position configuration space. Metropolis Monte Carlo computer simulation results are given for liquid Lennard-Jones He below 10\,K.
Cite
@article{arxiv.2603.02278,
title = {Quantum Monte Carlo in Classical Phase Space with the Wigner-Kirkwood Commutation Function. II. Diagonal Approximation in Position Space},
author = {Phil Attard},
journal= {arXiv preprint arXiv:2603.02278},
year = {2026}
}
Comments
8 pages, two tables, one figure