Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential

• URL: http://arxiv.org/abs/2407.08531v1
• Date: Thu, 11 Jul 2024 14:18:24 GMT
• Title: Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential
• Authors: A. Benchikha, B. Khantoul, B. Hamil, B. C. Lütfüoğlu,
• Abstract summary: We determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass and frequency. We derivation a parity-dependent of the invariant and auxiliary equation.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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