16D anisotropic inharmonic oscillator and 9D related (MICZ-)Kepler-like systems
A. Lavrenov, I. Lavrenov
TL;DR
This paper generalizes a 16D anisotropic inharmonic oscillator and its 9D MICZ-Kepler analogs, exploring their solvability via variable separation and transformations.
Contribution
It introduces a novel generalization of high-dimensional oscillators and their dual Kepler systems, extending the Kustaanheimo-Stiefel transformation for these cases.
Findings
Demonstrates solvability of the Schrödinger equation in various coordinates.
Provides a framework for analyzing 16D and 9D oscillator and Kepler-like systems.
Extends mathematical tools for high-dimensional quantum 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 Schr\"{o}dinger equation of the these problems by the variables separation method are discussed in different coordinates.
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Taxonomy
TopicsStellar, planetary, and galactic studies · Mechanical and Optical Resonators · History and Developments in Astronomy