Information-theoretic measures of hyperspherical harmonics
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Publication:3442278
DOI10.1063/1.2712913zbMath1137.33308OpenAlexW2072575663WikidataQ58363270 ScholiaQ58363270MaRDI QIDQ3442278
S. López-Rosa, Jesús S. Dehesera, Rafael Yáñez
Publication date: 16 May 2007
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.2712913
Harmonic analysis on homogeneous spaces (43A85) Measures of information, entropy (94A17) Spherical harmonics (33C55)
Related Items (9)
Relative Fisher information of discrete classical orthogonal polynomials ⋮ Information-theoretic-based spreading measures of orthogonal polynomials ⋮ Monotone complexity measures of multidimensional quantum systems with central potentials ⋮ Statistical complexity and Fisher-Shannon information measure of \(H^{+}_{2}\) ⋮ Fisher-Shannon plane and statistical complexity of atoms ⋮ Relativistic effects on information measures for hydrogen-like atoms ⋮ Fisher information of special functions and second-order differential equations ⋮ Entropy and complexity analysis of the \(D\)-dimensional rigid rotator and hyperspherical harmonics ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space
Cites Work
- Unnamed Item
- Unnamed Item
- Superadditivity of Fisher's information and logarithmic Sobolev inequalities
- A formula for angular and hyperangular integration
- A link of information entropy and kinetic energy for quantum many-body systems
- 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
- Some properties of hyperspherical harmonics
- Coulomb and quantum oscillator problems in conical spaces with arbitrary dimensions
- Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials
- Science from Fisher Information
- ON SOME PROPERTIES OF NORMAL DISTRIBUTIONS, UNIVARIATE AND BIVARIATE, BASED ON SUMS OF SQUARES OF FREQUENCIES
- Linearization and connection formulae involving squares of Gegenbauer polynomials
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