Approach on Tsallis statistical interpretation of hydrogenatom by adopting the generalized radial distribution function
Abstract
This paper revisits the statistical interpretation of the hydrogen atom within the framework of Tsallis Statistical Mechanics in the Canonical Ensemble. The convergence of the partition function does not exhibit for all the temperatures, while the wellknown T>T' transformation method of Tsallis Statistics fails, since nonmonotonicity is observed between the ordinary temperature, T, and the auxiliary one, T'. Here we reexamine the inconsistency of T>T' transformation method, in the case where the partition function converges for all the temperatures, by considering the generalized radial distribution function. We find that both the transformation method inconsistency and the partition function divergence can be recovered for all the temperatures, if the hydrogen atom is restricted within a critical radius Rc<4.832 bohr, while Tsallis entropic index values are given by q(Rc)E[qc=0.664,q*=7/9].
 Publication:

Journal of Mathematical Chemistry
 Pub Date:
 February 2009
 DOI:
 10.1007/s1091000995246
 Bibcode:
 2009JMaCh..45..930L
 Keywords:

 Hydrogenatom;
 Generalized radial distribution function;
 Tsallis Statistics