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

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.

Keywords

• information theory
• Fisher information
• Shannon entropy
• Rényi entropy
• Fisher–Rényi complexity
• hydrogenic systems