Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces

DOI10.1088/1742-5468/aacf0czbMath1457.82009arXiv1807.04797OpenAlexW3098208666MaRDI QIDQ3303285

D. Puertas-Centeno, Irene V. Toranzo, Jesús S. Dehesera

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.04797

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (2)

Fisher information for the Morse oscillator ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Role of information theoretic uncertainty relations in quantum theory
• Option price calibration from Rényi entropy
• Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals
• Rényi entropies, \(L_q\) norms and linearization of powers of hypergeometric orthogonal polynomials by means of multivariate special functions
• A class of Rényi information estimators for multidimensional densities
• A unified theory of polynomial expansions and their applications involving Clebsch-Gordan type linearization relations and Neumann series
• On measures of information and their characterizations
• Some Clebsch-Gordan type linearization relations and associated families of Dirichlet integrals.
• Entropic properties of \(D\)-dimensional Rydberg systems
• Planck scale effects in astrophysics and cosmology. Lectures given at the 40th Karpacz winter school on `Quantum gravity phenomenology', Ladek, Polen, February 4--14, 2004
• The world according to Rényi: Thermodynamics of multifractal systems
• Possible generalization of Boltzmann-Gibbs statistics.
• On the existence of hydrogen atoms in higher dimensional Euclidean spaces
• Entropy and complexity analysis of the \(D\)-dimensional rigid rotator and hyperspherical harmonics
• Rényi entropy and improved equilibration rates to self-similarity for nonlinear diffusion equations
• Wave Equations in Higher Dimensions
• A closed-form expression for the Sharma–Mittal entropy of exponential families
• Introduction to Nonextensive Statistical Mechanics
• Entanglement entropy and conformal field theory
• Clebsch-Gordan-type linearisation relations for the products of Laguerre polynomials and hydrogen-like functions
• Entropic uncertainty measures for large dimensional hydrogenic systems
• Rényi entropy of the totally asymmetric exclusion process
• Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters
• Radial Coulomb and oscillator systems in arbitrary dimensions
• Renyi entropy of the XY spin chain
• Asymptotics of 𝐿_{𝑝}-norms of Hermite polynomials and Rényi entropy of Rydberg oscillator states
• ON SOME PROPERTIES OF NORMAL DISTRIBUTIONS, UNIVARIATE AND BIVARIATE, BASED ON SUMS OF SQUARES OF FREQUENCIES
• Fitting Growth and Frequency Curves by The Method of Frequency Moments
• THE METHOD OF FREQUENCY-MOMENTS AND ITS APPLICATION TO TYPE VII POPULATIONS
• Nonextensive statistical mechanics and its applications. Papers from the IMS winter school on statistical mechanics: nonextensive generalization of Boltzmann-Gibbs statistical mechanics and its applications, Okazaki, Japan, February 15--18, 1999

This page was built for publication: Rényi entropies for multidimensional hydrogenic systems in position and momentum spaces