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

Author

Listed:
  • Portesi, M.
  • Plastino, A.
  • Pennini, F.

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.

Suggested Citation

  • Portesi, M. & Plastino, A. & Pennini, F., 2006. "Information measures based on Tsallis’ entropy and geometric considerations for thermodynamic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(1), pages 173-176.
    • Handle: RePEc:eee:phsmap:v:365:y:2006:i:1:p:173-176
    DOI: 10.1016/j.physa.2006.01.034
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    Cited by:

    1. Gomez, Ignacio S. & Portesi, Mariela & Borges, Ernesto P., 2020. "Universality classes for the Fisher metric derived from relative group entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 547(C).

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