Nonextensive quantum H-theorem
Universidade Federal do Rio Grande do Norte, Departamento de Física - Natal-RN, 59072-970, Brasil
2 Universidade do Estado do Rio Grande do Norte, Departamento de Física - Mossoró-RN, 59610-210, Brasil
3 Departamento de Astronomia, Observatório Nacional - 20921-400, Rio de Janeiro-RJ, Brasil
Accepted: 7 December 2009
A proof of the quantum H-theorem taking into account nonextensive effects on the quantum entropy is shown. The positiveness of the time variation of combined with a duality transformation implies that the nonextensive parameter q lies in the interval [0,2]. It is also shown that the stationary states are described by quantum q-power law extensions of the Fermi-Dirac and Bose-Einstein distributions. Such results reduce to the standard ones in the extensive limit, thereby showing that the nonextensive entropic framework can be harmonized with the quantum distributions contained in the quantum statistics theory.
PACS: 05.30.-d – Quantum statistical mechanics / 03.65.Ta – Foundations of quantum mechanics; measurement theory / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
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