Possible Divergences in Tsallis' Thermostatistics

Abstract

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.

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References in corpus (1)

• Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances

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