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

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Entropy (Basel, Switzerland) Switzerland), 2017-01, Vol.19 (1), p.16-16
Hauptverfasser: Toranzo, Irene, Sánchez-Moreno, Pablo, Rudnicki, Łukasz, Dehesa, Jesús
Format: Artikel
Sprache:eng
Schlagworte:
Complexity
Entropy
Fisher information
Fisher–Rényi complexity
hydrogenic systems
information theory
Mathematical analysis
Quantum numbers
Rényi entropy
Shannon entropy
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e19010016