Physica Scripta

Path integral formulation in the central potential of Wigner-Dunkl quantum mechanics

H. Benzair, Tahar Boudjedaa, M. Merad

Published Feb 17, 2025• 2 citations

Abstract

Abstract A central coordinate system is investigated within the framework of the Wigner-Dunkl deformation of quantum mechanics, treated using Feynman’s path integral approach. This approach involves performing path integration of a Lagrangian in polar coordinates, with an effective potential term that depends on both radial and angular coordinates. The success in separating variables within the two-dimensional Dunkl system facilitated obtaining exact expressions for the propagators associated with the free particle, inverse square potential, harmonic oscillator, and Coulomb potential. The energy eigenvalues and their corresponding wave functions are also determined.

DOI: 10.1088/1402-4896/adb707

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