https://doi.org/10.1007/s100510050864
Perturbation expansion, Bogoliubov inequality and integral representations in nonextensive Tsallis statistics
1
Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790,
87020-900 Maringá-PR, Brazil
2
Centro Brasileiro de Pesquisas Físicas, R. Dr. Xavier Sigaud 150, 22290-180 Rio de
Janeiro-RJ, Brazil
Corresponding author: a kwok@dfi.uem.br
Received:
19
November
1998
Published online: 15 July 1999
By using integral representations the perturbation expansion and the Bogoliubov inequality in nonextensive Tsallis statistics are investigated in a unified way. This procedure extends the analysis performed recently by Lenzi et al. [Phys. Rev. Lett. 80, 218 (1998)] to the quantum (discrete spectra) case, for q< 1. An example is presented in order to illustrate the method.
PACS: 05.70.Ce – Thermodynamic functions and equations of state / 05.20.-y – Classical statistical mechanics / 05.30.Ch – Quantum ensemble theory
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999