The shape invariance in \(S^2\) space with electromagnetic field

DOI10.1007/s10773-012-1095-9zbMath1262.81050OpenAlexW2500347085MaRDI QIDQ1930017

Yanyan Li

Publication date: 10 January 2013

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-012-1095-9

zbMATH Keywords

electromagnetic fieldLaplace equationstability conditionshape invariancecurvature space

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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Cites Work

• Embedding of dynamical symmetry groups \(U(1,1)\) and \(U(2)\) of a free particle on AdS\(_2\) and \(S^2\) into parasupersymmetry algebra
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• A Note on the Kepler Problem in a Space of Constant Negative Curvature