Generalized information entropies in nonextensive quantum systems: The interpolation approach
نویسنده
چکیده
We discuss the generalized von Neumann (Tsallis) entropy and the generalized Fisher information (GFI) in nonextensive quantum systems, by using the interpolation approximation (IA) which has been shown to yield good results for the quantal distributions within O(q − 1) and in highand lowtemperature limits, q being the entropic index [H. Hasegawa, Phys. Rev. E 80 (2009) 011126]. Three types of GFIs which have been proposed so far in the nonextensive statistics, are discussed from the viewpoint of their metric properties and the Cramér-Rao theorem. Numerical calculations of the qand temperature-dependent Tsallis entropy and GFIs are performed for the electron band model and the Debye phonon model.
منابع مشابه
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