F. Pennini et al., TSALLIS NONEXTENSIVE THERMOSTATISTICS, PAULI PRINCIPLE AND THE STRUCTURE OF THE FERMI-SURFACE, Physica. A, 234(1-2), 1996, pp. 471-479
In connection with Tsallis' generalized statistical mechanics, we disc
uss the associated quantal distribution functions and show, by recours
e to elementary considerations, that nonextensivity entails apparent v
iolations to the Pauli principle. The typical zero temperature sharp F
ermi surface is seen to be a limiting case in which the nonextensivity
parameter achieves that value for which the Boltzmann-Gibbs statistic
s is recovered.