Work

One-dimensional Dunkl quantum mechanics: a path integral approach

Year: 2024

Type: article

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.

Source: Physica Scripta

DOI: 10.1088/1402-4896/ad7aaf

Authors: A Benchikha, B Hamil, B C Lütfüoğlu, B Khantoul

Institutions: University Frères Mentouri Constantine 1, University of Hradec Králové, University of Constantine 3

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Univerzita Hradec Králové

Award: G5747430794