TSALLIS ENTROPY, EHRENFEST THEOREM AND INFORMATION-THEORY

Citation
Ar. Plastino et A. Plastino, TSALLIS ENTROPY, EHRENFEST THEOREM AND INFORMATION-THEORY, Physics letters. A, 177(3), 1993, pp. 177-179
Citations number
18
Categorie Soggetti
Physics
Journal title
ISSN journal
03759601
Volume
177
Issue
3
Year of publication
1993
Pages
177 - 179
Database
ISI
SICI code
0375-9601(1993)177:3<177:TEETAI>2.0.ZU;2-2
Abstract
We derive the information theory form of the quantum statistical opera tor that reproduces all available (generalized) expectation values and extremalizes the entropy functional proposed by Tsallis. We also demo nstrate that a generalized Euler equation relates Tsallis' entropy to the relevant expectation values and to the pertinent Lagrange multipli ers. 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 v alues.