The Coulomb problem on a 3-sphere and Heun polynomials

DOI10.1063/1.4817487zbMath1284.81140arXiv1302.0798OpenAlexW3099974207WikidataQ62558460 ScholiaQ62558460MaRDI QIDQ5407648

Vahagn Yeghikyan, Stefano Bellucci

Publication date: 7 April 2014

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

Full work available at URL: https://arxiv.org/abs/1302.0798

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Applications of Lie groups to the sciences; explicit representations (22E70) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (5)

Heun functions and some of their applications in physics ⋮ Solution of Schrödinger equation for two different potentials using extended Nikiforov-Uvarov method and polynomial solutions of biconfluent Heun equation ⋮ An application of Heun functions in the quantum mechanics of a constrained particle ⋮ Analytical eigenstate solutions of Schrödinger equation with noncentral generalized oscillator potential by extended Nikiforov-Uvarov method ⋮ Extension of Nikiforov-Uvarov method for the solution of Heun equation

Uses Software

• DLMF

Cites Work

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• Dynamical groups and spherical potentials in classical mechanics
• HEUN FUNCTIONS AND THEIR USES IN PHYSICS
• The second Hopf map and Yang–Coulomb system on a 5D (pseudo)sphere
• Dynamical symmetries in a spherical geometry. II
• Heun functions and the energy spectrum of a charged particle on a sphere under a magnetic field and Coulomb force
• Anisotropic inharmonic Higgs oscillator and related (MICZ-)Kepler-like systems
• On a New Treatment of Some Eigenvalue Problems

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