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16D anisotropic inharmonic oscillator and 9D related (MICZ-)Kepler-like systems

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arxiv 1903.10847 v1 pith:EI6TESWP submitted 2019-03-24 math-ph math.MP

A. Lavrenov , I. Lavrenov This is my paper · ORCID
classification math-phmath.MP
keywords anisotropicinharmonicoscillatorrelatedsystemsanalogcoordinatesdifferent
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We present some generalization of 16D oscillator by anisotropic and nonlinear inharmonic terms and its dual analog for 9D related MICZ-Kepler systems by generalized version of the Kustaanheimo-Stiefel transformation. The solvability of the Schr\"{o}dinger equation of the these problems by the variables separation method are discussed in different coordinates.

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  1. Generalized KS transformations, $ND$ singular oscillator and generalized MICZ-Kepler system

    math-ph 2019-08 reject novelty 4.0 of 10

    A paper claims a generalized Kustaanheimo-Stiefel duality between N=2n singular oscillators and (n+1)-dimensional generalized MICZ-Kepler systems, with exact solutions and hidden symmetry algebras, but the required tr...

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