Functionals of Gegenbauer polynomials and D-dimensional hydrogenic momentum expectation values

DOI10.1063/1.1286984zbMath0977.33006OpenAlexW2072514291WikidataQ58363406 ScholiaQ58363406MaRDI QIDQ2738206

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

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.1286984

zbMATH Keywords

Gegenbauer polynomialsfunctionalsmomentum expectation values

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Atomic physics (81V45)

Related Items (12)

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 ⋮ Entropic uncertainty measures for large dimensional hydrogenic systems ⋮ On Gegenbauer point processes on the unit interval ⋮ Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems ⋮ The moments of the hydrogen atom by the method of brackets ⋮ Parameter-based Fisher's information of orthogonal polynomials ⋮ Quantum information entropies and orthogonal polynomials ⋮ Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions ⋮ Inverse momentum expectation values for hydrogenic systems ⋮ Heisenberg-like uncertainty measures for D-dimensional hydrogenic systems at large D ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

Cites Work

• New identities for orthogonal polynomials on a compact interval
• An uncertainty principle for fermions with generalized kinetic energy
• A class of sums of Gegenbauer functions: Twenty-four sums in closed form
• The relativistic Hermite polynomial is a Gegenbauer polynomial
• Entropic integrals of hyperspherical harmonics and spatial entropy of D-dimensional central potentials

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