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arXiv · 2408.02021

Time-Dependent Dunkl-Schr\"odinger Equation with an Angular-Dependent Potential

B. C. Lütfüoğlu·A. Benchikha·B. Hamil·B. Khantoul
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Abstract

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.

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B. C. Lütfüoğlu, A. Benchikha, B. Hamil, B. Khantoul. 2024-08-04. Time-Dependent Dunkl-Schr\"odinger Equation with an Angular-Dependent Potential. https://doi.org/10.1142/s0217732325500099

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