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 transformation only provably exists for special n.
16D anisotropic inharmonic oscillator and 9D related (MICZ-)Kepler-like systems
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abstract
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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math-ph 1years
2019 1verdicts
REJECT 1representative citing papers
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Generalized KS transformations, $ND$ singular oscillator and generalized MICZ-Kepler system
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 transformation only provably exists for special n.