https://doi.org/10.1140/epjp/s13360-024-04998-3
Review
Thermal properties of a one-dimensional dirac oscillator in a homogeneous electric field with generalized snyder model: path integral treatment
1
Laboratoire LRPPS, Faculté des Sciences et de la Technologie et des Sciences de la Matière, Université Kasdi Merbah Ouargla, 30000, Ouargla, Algeria
2
Laboratoire de Physique Théorique, Département de Physique, Université de Jijel, BP 98, 18000, Ouled Aissa, Jijel, Algeria
Received:
19
September
2023
Accepted:
13
February
2024
Published online:
2
March
2024
In this paper, we derive the relativistic Green function using a path integral formulation for a (
)-Dirac oscillator system under a homogeneous electric field within the framework of the Snyder de Sitter model. Consequently, we calculate the propagator function and the corresponding spectral energies. The thermodynamic properties of a single electron are then extracted under high-temperature conditions for four sets of deformation parameters. We examine the impact of the deformation parameters on these properties and infer the limit cases for small parameters.
Copyright comment Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
