Green’s functions of relativistic oscillators with generalized Dunkl derivative: the (1+1)-dimensional case

The Green’s functions for relativistic oscillators with spin-0 and spin-1/2, within the framework of a new generalization of the Dunkl derivative with three parameters, are calculated using the path integral approach. For simplicity, this derivative is reformulated to depend on only two parameters....

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Bibliographic Details
Published in:Physica scripta 2025-01, Vol.100 (1), p.15277
Main Authors: Raber, Djamel E M, Benzair, Hadjira, Boudjedaa, Tahar, Merad, Mahmoud
Format: Article
Language:English
Subjects:
Dirac-Dunk oscillator
generalized Wigner-Dunkl
Green function
Klein–Gordon-Dunkl oscillator
path integral formalism
propagator
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Summary:The Green’s functions for relativistic oscillators with spin-0 and spin-1/2, within the framework of a new generalization of the Dunkl derivative with three parameters, are calculated using the path integral approach. For simplicity, this derivative is reformulated to depend on only two parameters. As a result, the energy eigenvalues and their corresponding wave functions are determined in both cases as functions of the three deformed parameters. In the limiting cases of the deformed parameters, the standard Dunkl derivative system is recovered, even in the absence of the Dunkl parameters.
ISSN:0031-8949
1402-4896
DOI:10.1088/1402-4896/ad9efa