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.

References in corpus (3)

• Direct spreading measures of Laguerre polynomials
• Towards Quantifying Complexity with Quantum Mechanics
• On a (β,q)-generalized Fisher information and inequalities involving q-Gaussian distributions

Cited by in corpus (3)

• On Generalized Stam Inequalities and Fisher-Rényi Complexity Measures
• Quantum information measures of the Dirichlet and Neumann hyperspherical dots
• Biparametric complexities and the generalized Planck radiation law