English

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

Mathematical Physics 2019-03-27 v1 math.MP

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.

Keywords

Cite

@article{arxiv.1903.10847,
  title  = {16D anisotropic inharmonic oscillator and 9D related (MICZ-)Kepler-like systems},
  author = {A. Lavrenov and I. Lavrenov},
  journal= {arXiv preprint arXiv:1903.10847},
  year   = {2019}
}

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prepared 14 pages on December 14, 2018