paper

Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential

arXiv:2407.08531 · doi:10.1007/s10773-024-05786-6

Abstract

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.

11 pages

Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential · wovepaper