Eur. Phys. J. B 10, 353-359 (1999)
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

Abstract

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.