On a modified quantum statistical mechanics based on the Hartley information

The theoretical method described by Campos [D. Campos, A thermodynamic-like approach for the study of probabilistic systems, Physica A 390 (2011) 214. http://dx.doi.org/10.1016/j.physa.2010.09.023] is used for the study of quantum systems giving rise to a modified quantum statistical mechanics. The core of this approach includes a nonlinear relationship between Hartley information (pseudo-energy) and energy eigenvalues, and the use of thermodynamic-like functions parameterized by the continuous entropic parameter q (q∈[0,∞)).