Power Series for the Quantum Statistical Mechanics Probability with Results for the Second Virial Coefficient of Helium

Abstract:A power series for the Wigner-Kirkwood pair commutation function for quantum statistical mechanics in classical phase space is given with terms automatically generated by recursion. The calculated second virial coefficient agrees with the measured values of helium for temperatures greater than 65 K. Prospects for a general quantum Monte Carlo algorithm are discussed.

Statistical Mechanics (cond-mat.stat-mech); Quantum Gases (cond-mat.quant-gas); Computational Physics (physics.comp-ph); Quantum Physics (quant-ph)

arXiv:2608.21451 [cond-mat.stat-mech]

(or arXiv:2608.21451v1 [cond-mat.stat-mech] for this version)

https://doi.org/10.48550/arXiv.2608.21451 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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