Quantum Corrections for Generalized Partition Functions

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.

latex, 12 pages, to appears in Phys. A

References in corpus (1)

• Aging in Models of Non-linear Diffusion

Cited by in corpus (3)

• Remarks on $(1-q)$ expansion and factorization approximation in the Tsallis nonextensive statistical mechanics
• Quantum Field Theories in Nonextensive Tsallis Statistics
• Path Integral Approach to the Nonextensive Canonical Density Matrix