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Superintegrability and Coulomb-Oscillator Duality

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arxiv 2411.07733 v1 pith:2DKNVWDB submitted 2024-11-12 math-ph math.MP

Levon G. Mardoyan This is my paper · ORCID
classification math-phmath.MP
keywords dualitytransformationcoulombcoulomb-oscillatordevoteddyonhurwitzks-transformation
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This review is devoted to the problem of Coulomb (dyon)-oscillator duality in non-relativistic quantum mechanics, which is based on the so-called non-bijective quadratic transformations, i.e. Levi-Civita transformation, Kustaanheimo--Stiefel (KS-transformation) and Hurwitz transformation.

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Cited by 1 Pith paper

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  1. Generalized MICZ-Kepler systems on three-dimensional sphere and hyperboloid

    math-ph 2026-01 conditional novelty 5.0 of 10

    Curved-space analogs of the generalized MICZ-Kepler system on S³ and the 3D hyperboloid are solved exactly, with two-quantum-number spectra and normalized wavefunctions.

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