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

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 Schrodinger equation of the these problems by the variables separation method are discussed in different coordinates.