Information measures of hydrogenic systems, Laguerre polynomials and spherical harmonics

DOI10.1016/j.cam.2004.09.040zbMath1076.33012OpenAlexW2136694756WikidataQ58363312 ScholiaQ58363312MaRDI QIDQ1779442

S. López-Rosa, B. Olmos, Rafael Yáñez, Jesús S. Dehesera

Publication date: 1 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.040

zbMATH Keywords

classical orthogonal polynomialsFisher informationspecial functionsinformation theoryShannon entropyhydrogenic systems

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Measures of information, entropy (94A17) Spherical harmonics (33C55) Hypergeometric functions (33C99)

Related Items (9)

Fisher information of D-dimensional hydrogenic systems in position and momentum spaces ⋮ Uncertainty relation for Fisher information of D-dimensional single-particle systems with central potentials ⋮ Quantum information entropies for the \(\ell \)-state Pöschl-Teller-type potential ⋮ Fisher information for the Morse oscillator ⋮ Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well ⋮ Relativistic Klein–Gordon charge effects by information-theoretic measures ⋮ Parameter-based Fisher's information of orthogonal polynomials ⋮ Fisher information and kinetic energy functionals: a dequantization approach ⋮ Fisher information of special functions and second-order differential equations

Cites Work

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• A Mathematical Theory of Communication
• Fisher information as a measure of time
• Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials
• Some inequalities satisfied by the quantities of information of Fisher and Shannon
• Information theoretic inequalities
• A logarithmic Sobolev inequality on the real line
• Computation of the Entropy of Polynomials Orthogonal on an Interval
• Probability, statistical optics, and data testing. A problem solving approach.
• Quantum information entropies and orthogonal polynomials

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