One-dimensional Dunkl Quantum Mechanics: A Path Integral Approach

Abstract

In the present manuscript, we employ the Feynman path integral method to derive the propagator in one-dimensional Wigner-Dunkl quantum mechanics. To verify our findings we calculate the propagator associated with the free particle and the harmonic oscillator in the presence of the Dunkl derivative. We also deduce the energy spectra and the corresponding bound-state wave functions from the spectral decomposition of the propagator.

11 pages

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Cited by in corpus (6)

• 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