In this manuscript, we investigate the analytical solution of the time-dependent Schr\"odinger equation for a harmonic oscillator with time-dependent mass and frequency, coupled with angular-dependent potential energy by utilizing the Dunkl derivatives. To obtain the solution, we employ the Lewis-Riesenfeld invariant methodology. Our approach broadens the scope of quantum mechanical analyses, offering exact solutions and new insights into dynamic quantum systems under varying conditions.
@article{arxiv.2408.02021,
title = {Time-Dependent Dunkl-Schr\"odinger Equation with an Angular-Dependent Potential},
author = {B. C. Lütfüoğlu and A. Benchikha and B. Hamil and B. Khantoul},
journal= {arXiv preprint arXiv:2408.02021},
year = {2025}
}