A limit of the confluent Heun equation and the Schrödinger equation for an inverted potential and for an electric dipole

DOI10.1063/1.3268591zbMath1316.81025arXiv0902.3202OpenAlexW2051643416MaRDI QIDQ3583757

Léa Jaccoud El-Jaick, Bartolomeu D. B. Figueiredo

Publication date: 17 August 2010

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

Full work available at URL: https://arxiv.org/abs/0902.3202

zbMATH Keywords

dipole totential, separation of radial and angular variables

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Exactly and quasi-solvable systems arising in quantum theory (81U15) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Special quantum systems, such as solvable systems (81Q80)

Related Items (7)

Heun functions and some of their applications in physics ⋮ Integral relations for solutions of the confluent Heun equation ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ Convergence and applications of some solutions of the confluent Heun equation ⋮ Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS ⋮ Confluent Heun functions and separation of variables in spheroidal coordinates

Cites Work

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• Reihenentwicklungen von Produkten zweier Sphäroidfunktionen nach Produkten von Zylinder‐ und Kugelfunktionen
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