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Entropy 2017, 19(1), 16; doi:10.3390/e19010016

One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications

1
Instituto Carlos I de Física Teórica y Computacional, Universidad de Granada, 18071 Granada, Spain
2
Departamento de Física Atómica, Molecular y Nuclear, Universidad de Granada, 18071 Granada, Spain
3
Departamento de Matemática Aplicada, Universidad de Granada, 18071 Granada, Spain
4
Institute for Theoretical Physics, University of Cologne, Zülpicher Straße 77, D-50937 Cologne, Germany
5
Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, PL-02-668 Warsaw, Poland
These authors contributed equally to this work.
*
Author to whom correspondence should be addressed.
Academic Editors: Raúl Alcaraz Martínez and Kevin H. Knuth
Received: 27 September 2016 / Revised: 14 December 2016 / Accepted: 25 December 2016 / Published: 30 December 2016
(This article belongs to the Section Information Theory)
View Full-Text   |   Download PDF [347 KB, uploaded 30 December 2016]   |  

Abstract

In this work, the one-parameter Fisher–Rényi measure of complexity for general d-dimensional probability distributions is introduced and its main analytic properties are discussed. Then, this quantity is determined for the hydrogenic systems in terms of the quantum numbers of the quantum states and the nuclear charge. View Full-Text
Keywords: information theory; Fisher information; Shannon entropy; Rényi entropy; Fisher–Rényi complexity; hydrogenic systems information theory; Fisher information; Shannon entropy; Rényi entropy; Fisher–Rényi complexity; hydrogenic systems
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Toranzo, I.V.; Sánchez-Moreno, P.; Rudnicki, Ł.; Dehesa, J.S. One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications. Entropy 2017, 19, 16.

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