One-dimensional Dunkl quantum mechanics: a path integral approach
A Benchikha, B Hamil, B. C. Lütfüoğlu, Boubakeur Khantoul
Abstract
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.
Topics & Concepts
Path integral formulationRelation between Schrödinger's equation and the path integral formulation of quantum mechanicsPath (computing)PhysicsClassical mechanicsQuantumQuantum mechanicsComputer scienceProgramming languageQuantum Mechanics and Non-Hermitian PhysicsMolecular spectroscopy and chiralityQuantum chaos and dynamical systems