One-parameter Fisher-Rényi complexity: Notion and hydrogenic applications
arXiv:1701.04199 · doi:10.3390/e19010016
Abstract
In this work the one-parameter Fisher-Rényi measure of complexity for general -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 (10)
- A Statistical Measure of Complexity
- Features of the Extension of a Statistical Measure of Complexity to Continuous Systems
- Beyond the entropy power inequality, via rearrangements
- A Generalized Statistical Complexity Measure: Applications to Quantum Systems
- Monotone measures of statistical complexity
- Some results concerning maximum Renyi entropy distributions
- The concavity of Rènyi entropy power
- 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
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- Dynamics of order-disorder and complexity for interacting bosons in optical lattice
- Comparative analysis of information measures of the Dirichlet and Neumann two-dimensional quantum dots
- The biparametric Fisher-Rényi complexity measure and its application to the multidimensional blackbody radiation
- Quantum information measures of the Dirichlet and Neumann hyperspherical dots
- Biparametric complexities and the generalized Planck radiation law
- Quantum-information theory of a Dirichlet ring with Aharonov-Bohm field