Multidimensional Isotropic and Anisotropic Q-Oscillator Models

TL;DR

This paper explores multidimensional q-oscillator models, revealing new symmetries in isotropic and anisotropic cases, with applications to molecular spectra and nuclear structures.

Contribution

It introduces new symmetries in multidimensional q-oscillator models, expanding understanding of their mathematical structure and physical applications.

Findings

Discovered new symmetries in q-oscillator models

Analyzed isotropic and anisotropic cases

Discussed applications to molecular and nuclear spectra

Abstract

q-oscillator models are considered in two and higher dimensions and their symmetries are explored. New symmetries are found for both isotropic and anisotropic cases. Applications to the spectra of triatomic molecules and superdeformed nuclei are discussed.