Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential

• URL: http://arxiv.org/abs/2408.02021v2
• Date: Wed, 26 Mar 2025 04:31:13 GMT
• Title: Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
• Authors: B. C. Lütfüoğlu, A. Benchikha, B. Hamil, B. Khantoul,
• Abstract summary: We investigate the solution of the time-dependent Schr"odinger equation for a harmonic oscillator with time-dependent mass and frequency.<n>Our approach broadens the scope of quantum mechanical analyses, offering exact solutions and new insights into dynamic quantum systems under varying conditions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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