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Information measures based on Tsallis' entropy and geometric considerations for thermodynamic systems

M. Portesi·A. Plastino·F. Pennini
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Abstract

An analysis of the thermodynamic behavior of quantum systems can be performed from a geometrical perspective investigating the structure of the state space. We have developed such an analysis for nonextensive thermostatistical frameworks, making use of the q-divergence derived from Tsallis' entropy. Generalized expressions for operator variance and covariance are considered, in terms of which the fundamental tensor is given.

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M. Portesi, A. Plastino, F. Pennini. 2005-10-17. Information measures based on Tsallis' entropy and geometric considerations for thermodynamic systems. https://doi.org/10.1016/j.physa.2006.01.034

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