TSALLIS ENTROPY, EHRENFEST THEOREM AND INFORMATION-THEORY

We derive the information theory form of the quantum statistical operator that reproduces all available (generalized) expectation values and extremalizes the entropy functional proposed by Tsallis. We also demonstrate that a generalized Euler equation relates Tsallis' entropy to the relevant expectation values and to the pertinent Lagrange multipliers. These expectation values are seen to obey the Ehrenfest theorem. Additionally, an appropriate generalization of Jaynes' equation allows one to obtain the Lagrange multipliers from the (input) expectation values.