Quantum Corrections for Generalized Partition Functions

TL;DR

This paper develops a general method to compute quantum corrections to classical partition functions, explicitly deriving first and second order corrections, and extends the classical limit to Tsallis thermostatistics, generalizing Wigner's results.

Contribution

It introduces a systematic procedure for quantum corrections to generalized partition functions, including Tsallis statistics, expanding upon and generalizing Wigner's classical results.

Findings

Explicit first and second order quantum corrections derived.

Classical limit for Tsallis thermostatistics established.

Results generalize Wigner's classical statistical mechanics corrections.

Abstract

The classical limit for generalized partition functions is obtained using coherent states. In this framework it is presented a general procedure to obtain all the corrections to the classical limit. In particular, the first and second order quantum corrections are worked out explicitly, and the classical limit for the Tsallis thermostatistics is determined. The results of this work generalize the ones obtained by E. Wigner (Phys. Rev. 40 (1932) 749) for usual statistical mechanics.