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Perturbation expansion, Bogoliubov inequality and integral representations in nonextensive Tsallis statistics
Authors:RS Mendes  SF Kwok  EK Lenzi  JN Maki
Institution:(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
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
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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