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Thermal properties of a one-dimensional dirac oscillator in a homogeneous electric field with generalized snyder model: path integral treatment

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Abstract

In this paper, we derive the relativistic Green function using a path integral formulation for a (\(1+1\))-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.

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Authors and Affiliations

  1. Laboratoire LRPPS, Faculté des Sciences et de la Technologie et des Sciences de la Matière, Université Kasdi Merbah Ouargla, 30000, Ouargla, Algeria

    Thouiba Benzair & Thouria Chohra

  2. Laboratoire de Physique Théorique, Département de Physique, Université de Jijel, BP 98, 18000, Ouled Aissa, Jijel, Algeria

    Tahar Boudjedaa

Authors
  1. Thouiba Benzair
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  2. Thouria Chohra
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  3. Tahar Boudjedaa
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Correspondence to Thouiba Benzair.

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Benzair, T., Chohra, T. & Boudjedaa, T. Thermal properties of a one-dimensional dirac oscillator in a homogeneous electric field with generalized snyder model: path integral treatment. Eur. Phys. J. Plus 139, 204 (2024). https://doi.org/10.1140/epjp/s13360-024-04998-3

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  • DOI: https://doi.org/10.1140/epjp/s13360-024-04998-3

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