Information measures based on Tsallis' entropy and geometric considerations for thermodynamic systems
arXiv:cond-mat/0510434 · doi:10.1016/j.physa.2006.01.034
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.
contribution to 3rd NEXT-SigmaPhi International Conference (August 2005, Kolymbari, Greece)