Inconsistency of the hydrogen-atom with β→β′ transformation in Tsallis statistics

In this article the β→β′ transformation method is applied to a hydrogen-atom in the canonical ensemble to obtain the re-normalized (real) temperatures associated with the normalized q-expectation values formalism in the Tsallis method of approach. The results indicate that the re-normalized (real) temperature T, which is a function of the intermediate temperature T′, is not a monotonically increasing function for the allowable range of q. Of course this behavior of the T is not desirable.