TSALLIS ENTROPY AND QUANTAL DISTRIBUTION-FUNCTIONS

In connection with Tsallis generalized statistical mechanics, we discu ss the associated quantal distribution functions recently advanced by Buyukkilic et al. [Phys. Lett. A 197 (1995) 209] and show, by recourse to elementary considerations, that they can be regarded only as rathe r rough approximations. Numerical calculations in a simple model show that, for some values of the temperature and the chemical potential, r esults obtained with the approximate distributions appreciably deviate from the exact ones.