Quantum Statistical Mechanics Results for Argon, Neon, and Helium Using Classical Monte Carlo

Abstract

Quantum corrections to the classical pressure are obtained for Lennard-Jones models of argon, neon, and helium using classical Metropolis algorithm computer simulations. The corrections for non-commutativity are obtained to fourth order in Planck's constant. Compared to the classical virial pressure on all isotherms at liquid-like densities, the quantum correction is found to be $\mathcal{O}(10^{-2})$ for argon, $\mathcal{O}(10^0)$ for neon, and $\mathcal{O}(10^3)$ for helium. The first order correction due to wave function symmetrization is also obtained, but this is relatively negligible.

15 pages, 9 figures

References in corpus (3)

• Quantum Statistical Mechanics. I. Decoherence, Wave Function Collapse, and the von Neumann Density Matrix
• Expansion for Quantum Statistical Mechanics Based on Wave Function Symmetrization
• Quantum Statistical Mechanics as an Exact Classical Expansion with Results for Lennard-Jones Helium