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

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...

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Bibliographic Details
Published inEntropy (Basel, Switzerland) Vol. 19; no. 1; p. 16
Main Authors Toranzo, Irene, Sánchez-Moreno, Pablo, Rudnicki, Łukasz, Dehesa, Jesús
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.01.2017
Subjects
Complexity
Entropy
Fisher information
Fisher–Rényi complexity
hydrogenic systems
information theory
Mathematical analysis
Quantum numbers
Rényi entropy
Shannon entropy
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Summary: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.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e19010016