Perturbation expansion, Bogoliubov inequality and integral representations in nonextensive Tsallis statistics |
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Authors: | R.S. Mendes S.F. Kwok E.K. Lenzi J.N. Maki |
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Affiliation: | (1) Departamento de Física, Universidade Estadual de Maringá, Av. Colombo 5790, 87020-900 Maringá-PR, Brazil, BR;(2) Centro Brasileiro de Pesquisas Físicas, R. Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro-RJ, Brazil, BR |
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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. Received 19 November 1998 |
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Keywords: | PACS. 05.70.Ce Thermodynamic functions and equations of state - 05.20.-y Classical statistical mechanics - 05.30.Ch Quantum ensemble theory |
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