Quantum expectation values ofD-dimensional Rydberg hydrogenic states by use of Laguerre and Gegenbauer asymptotics

DOI10.1088/1751-8113/43/14/145204zbMath1188.81183OpenAlexW2029377856WikidataQ58363182 ScholiaQ58363182MaRDI QIDQ3558437

Alexander I. Aptekarev, Jesús S. Dehesera, Rafael Yáñez, Andrei Martínez-Finkelshtein

Publication date: 5 May 2010

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

Full work available at URL: https://doi.org/10.1088/1751-8113/43/14/145204

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Atomic physics (81V45) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (9)

Entropic properties of \(D\)-dimensional Rydberg systems ⋮ High-dimensional oscillators and Laguerre polynomials ⋮ Comment on “Entropy and complexity analysis of hydrogenic Rydberg atoms” [J. Math. Phys. 54, 052109 (2013)] ⋮ Entropic uncertainty measures for large dimensional hydrogenic systems ⋮ Asymptotics \((p\to\infty)\) of \(L_p\)-norms of hypergeometric orthogonal polynomials ⋮ Entropy and complexity analysis of hydrogenic Rydberg atoms ⋮ Heisenberg-like uncertainty measures for D-dimensional hydrogenic systems at large D ⋮ Asymptotic behaviour of the information entropy of hydrogen-like quantum systems ⋮ Rydberg multidimensional states: Rényi and Shannon entropies in momentum space

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