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

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

2005-10-17

arxiv.org/abs/cond-mat/0510434v1

Physica A 365, 173 (2006)

Physics

Condensed Matter

Statistical Mechanics

contribution to 3rd NEXT-SigmaPhi International Conference (August 2005, Kolymbari, Greece)

Scientific paper

10.1016/j.physa.2006.01.034

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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