Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials

DOI10.1063/1.533051zbMath0968.81011OpenAlexW2082222331MaRDI QIDQ4498462

Rosario González-Férez, Walter Van Assche, Rafael Yáñez, Jesús S. Dehesera

Publication date: 16 August 2000

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

Full work available at URL: https://doi.org/10.1063/1.533051

zbMATH Keywords

Gegenbauer polynomialsinformation entropyangular distributionChebyshev polynomials of even orderquadratic logarithmic potentialradial entropy

Mathematics Subject Classification ID

Quantum computation (81P68) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) General mathematical topics and methods in quantum theory (81Q99) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (18)

Relative Fisher information of discrete classical orthogonal polynomials ⋮ Entropic properties of \(D\)-dimensional Rydberg systems ⋮ Fisher information of D-dimensional hydrogenic systems in position and momentum spaces ⋮ Information-theoretic measures of hyperspherical harmonics ⋮ Shannon entropy of symmetric Pollaczek polynomials ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Monotone complexity measures of multidimensional quantum systems with central potentials ⋮ Exactly complete solutions of the pseudoharmonic potential in \(N\)-dimensions ⋮ Entropy and complexity analysis of hydrogenic Rydberg atoms ⋮ Functionals of Gegenbauer polynomials and D-dimensional hydrogenic momentum expectation values ⋮ Asymptotic upper bounds for the entropy of orthogonal polynomials in the Szegő class ⋮ Quantum information entropies and orthogonal polynomials ⋮ Some integral identities for spherical harmonics in an arbitrary dimension ⋮ Differential entropy and dynamics of uncertainty ⋮ Entropic integrals of orthogonal hypergeometric polynomials with general supports ⋮ Upper bounds on Shannon and Rényi entropies for central potentials ⋮ \(L^{p}\)-norms and information entropies of Charlier polynomials ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Cites Work

• A Mathematical Theory of Communication
• Asymptotics for the \({}_ 4F_ 3\) polynomials
• Some Hypergeometric Orthogonal Polynomials
• 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
• Logarithmic potential of Hermite polynomials and information entropies of the harmonic oscillator eigenstates
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator potential

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