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

by 1,2,†, 1,3,†, 4,5,† and 1,2,*,†
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
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editors: Raúl Alcaraz Martínez and Kevin H. Knuth
Entropy 2017, 19(1), 16; https://doi.org/10.3390/e19010016
Received: 27 September 2016 / Revised: 14 December 2016 / Accepted: 25 December 2016 / Published: 30 December 2016
(This article belongs to the Section Information Theory, Probability and Statistics)
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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MDPI and ACS Style

Toranzo, I.V.; Sánchez-Moreno, P.; Rudnicki, Ł.; Dehesa, J.S. One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications. Entropy 2017, 19, 16. https://doi.org/10.3390/e19010016

AMA Style

Toranzo IV, Sánchez-Moreno P, Rudnicki Ł, Dehesa JS. One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications. Entropy. 2017; 19(1):16. https://doi.org/10.3390/e19010016

Chicago/Turabian Style

Toranzo, Irene V., Pablo Sánchez-Moreno, Łukasz Rudnicki, and Jesús S. Dehesa. 2017. "One-Parameter Fisher–Rényi Complexity: Notion and Hydrogenic Applications" Entropy 19, no. 1: 16. https://doi.org/10.3390/e19010016

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