Strong asymptotics of Laguerre polynomials and information entropies of two-dimensional harmonic oscillator and one-dimensional Coulomb potentials

DOI10.1063/1.532238zbMath1044.81563OpenAlexW2013564845WikidataQ58363475 ScholiaQ58363475MaRDI QIDQ4260455

V. S. Buyarov, Alexander I. Aptekarev, Jesús S. Dehesera, Rafael Yáñez

Publication date: 3 December 2002

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

Full work available at URL: https://doi.org/10.1063/1.532238

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99) Measures of information, entropy (94A17)

Related Items (25)

Information-theoretic measures for a solitonic profile mass Schrödinger equation with a squared hyperbolic cosecant potential ⋮ Average entropy of a subsystem from its average Tsallis entropy ⋮ Asymptotics of information entropies of some Toda-like potentials ⋮ Shannon entropy of symmetric Pollaczek polynomials ⋮ Direct spreading measures of Laguerre polynomials ⋮ High-dimensional oscillators and Laguerre polynomials ⋮ Shannon information entropy for a quantum nonlinear oscillator on a space of non-constant curvature ⋮ Entropy and complexity analysis of Dirac-delta-like quantum potentials ⋮ Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems ⋮ Asymptotics of Orthogonal-Polynomial Functionals and Shannon Information Entropy of Rydberg Atoms ⋮ Entropy and complexity analysis of hydrogenic Rydberg atoms ⋮ Information-theoretic properties of the half-line Coulomb potential ⋮ Quantum information entropies and orthogonal polynomials ⋮ Rényi entropy of the infinite well potential in momentum space and Dirichlet-like trigonometric functionals ⋮ Asymptotics of information entropy for the two-dimensional analog of the relativistic hydrogen atom in the Kozlov-Nikishin model ⋮ Generalized Wehrl entropies and Euclidean Landau levels ⋮ Entropic integrals of orthogonal hypergeometric polynomials with general supports ⋮ A LAGUERRE POLYNOMIAL ORTHOGONALITY AND THE HYDROGEN ATOM ⋮ SHORT-WAVE ASYMPTOTICS OF THE INFORMATION ENTROPY OF A CIRCULAR MEMBRANE ⋮ Information entropy of the relativistic Kozlov-Nikishin model ⋮ Asymptotics of the information entropy for Jacobi and Laguerre polynomials with varying weights ⋮ Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials ⋮ Information entropy of orthogonal polynomials ⋮ \(L^{p}\)-norms and information entropies of Charlier polynomials ⋮ Entropy and complexity analysis of the \(D\)-dimensional rigid rotator and hyperspherical harmonics

Cites Work

• A Mathematical Theory of Communication
• Coherent angular momentum states for the two-dimensional oscillator
• Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials
• ASYMPTOTIC BEHAVIOR OF THEL^p-NORMS AND THE ENTROPY FOR GENERAL ORTHOGONAL POLYNOMIALS
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

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