In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass and frequency within the framework of the Dunkl derivative, which leads to the derivation of a parity-dependent of the invariant and auxiliary equation.
@article{arxiv.2407.08531,
title = {Dunkl-Schr\"odinger equation with time-dependent harmonic oscillator potential},
author = {A. Benchikha and B. Khantoul and B. Hamil and B. C. Lütfüoğlu},
journal= {arXiv preprint arXiv:2407.08531},
year = {2024}
}