Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential

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.

arXiv comment11 pages

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Cited by in corpus (8)

• Time-Dependent Dunkl-Schrödinger Equation with an Angular-Dependent Potential
• A Path Integral Treatment of Time-dependent Dunkl Quantum Mechanics
• Time-dependent Dunkl-Pauli Oscillator
• Dunkl-Klein-Gordon Equation in Higher Dimensions
• Bounding the Wigner Deformation Parameter in Harmonically Trapped Bose Gases
• Spectral and Thermal Analysis of the Morse Potential within the Dunkl Formalism: Analytical Approximations and Applications
• Exact Solutions of the Schrödinger-Dunkl Equation for a Free Particle in a Finite and Infinite Cylindrical Well
• A Generalization of the Parametric Amplifier with Dunkl Derivative: Spectral and Statistical Properties