Entropy and complexity analysis of hydrogenic Rydberg atoms

DOI10.1063/1.4807095zbMath1282.81054arXiv1305.1149OpenAlexW2081980541WikidataQ58362951 ScholiaQ58362951MaRDI QIDQ5402252

S. López-Rosa, Irene V. Toranzo, Pablo Sánchez-Moreno, Jesús S. Dehesera

Publication date: 6 March 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.1149

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (8)

Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials ⋮ Response to “Comment on ‘Entropy and complexity analysis of hydrogenic Rydberg atoms’” [J. Math. Phys. 58, 104101 (2017)] ⋮ Comment on “Entropy and complexity analysis of hydrogenic Rydberg atoms” [J. Math. Phys. 54, 052109 (2013)] ⋮ Monotone complexity measures of multidimensional quantum systems with central potentials ⋮ Theory of the Robin quantum wall in a linear potential. I. Energy spectrum, polarization and quantum-information measures ⋮ Heisenberg-like uncertainty measures for D-dimensional hydrogenic systems at large D ⋮ Complexity analysis of hypergeometric orthogonal polynomials ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Mathematical Theory of Communication
• Fisher-Shannon plane and statistical complexity of atoms
• Statistical complexity and Fisher-Shannon information in the H-atom
• LMC complexity for the ground states of different quantum systems
• Inequalities in Fourier analysis
• Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights
• Cramer--Rao information plane of orthogonal hypergeometric polynomials
• The Shannon-entropy-based uncertainty relation forD-dimensional central potentials
• Inverse momentum expectation values for hydrogenic systems
• A quantum uncertainty relation based on Fisher's information
• Uncertainty relation for Fisher information of D-dimensional single-particle systems with central potentials
• Quantum expectation values ofD-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics
• A generalized statistical complexity measure: Applications to quantum systems
• Information theoretic inequalities
• Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials
• Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials
• Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials
• Science from Fisher Information
• A statistical complexity measure with nonextensive entropy and quasi-multiplicativity
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS

This page was built for publication: Entropy and complexity analysis of hydrogenic Rydberg atoms