Journal of Mathematical Physics -- April 1996 -- Volume 37, Issue 4, pp. 1790-1811 

Non-standard thermal statistics with q-entropies

Gustavo R. Guerberoff, Pedro A. Pury, and Guido A. Raggio
Facultad de Matemática, Astronomí a y Física, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Córdoba, Argentina
(Received 20 April 1995; accepted 17 November 1995)

We consider the quantum thermal statistics a  la Gibbs-Shannon-Szilard-Jaynes based on q-entropies Sq[ \rho ] = (1 - tr( \rho q)) / (1- q) (0 < q \neq 1) and the non-standard ``internal energy'' functionals Uq[ \rho ] = tr( \rho q H) proposed by C. Tsallis [J. Stat. Phys. 52, 479-487 (1988)]. © 1996 American Institute of Physics.

PII: S0022-2488(96)01403-X
PACS: 02.30.Wd, 05.30.Ch, 05.90.+m