Possible Divergences in Tsallis' Thermostatistics

A. Plastino, M. C. Rocca

Published 2013-09-22, updated 2013-10-16Version 3

Trying to compute the nonextensive q-partition function for the Harmonic Oscillator in more than two dimensions, one encounters that it diverges, which poses a serious threat to the whole of Tsallis' thermostatistics. Appeal to the so called q-Laplace Transform, where the q-exponential function plays the role of the ordinary exponential, is seen to save the day.