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The vector DKP oscillator in the plane with a magnetic field and the Snyder–de Sitter algebra

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Abstract

The Snyder–de Sitter (SdS) algebra is a model of noncommutative spacetime based on three fundamental constants: the speed of light, the Planck length and the cosmological constant, and can thus be viewed as a realization of triply special relativity. The commutation relations of this algebra might lead to the occurrence of minimal length as well as minimal momentum. In this paper, we investigate the spin-one Duffin–Kemmer–Petiau oscillator, subject to an external transverse homogeneous magnetic field (HMF), in \((1+2)\)-dimensional spacetime with the non-relativistic SdS algebra. The corresponding problem is exactly solved using the momentum representation: The oscillator wave functions and the associated energy eigenvalues are then obtained, and effects of the parameters of the SdS algebra are thoroughly analyzed. The special case of a spin-one particle moving in a plane under a perpendicular HMF as well as the non-relativistic limit of the system are discussed.

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Acknowledgements

The authors would like to express their great appreciation to Pr. Abdelmalek Boumali from the University of Tebessa (Algeria) for his valuable suggestions during the development of this work.

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Authors and Affiliations

  1. Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah, Saudi Arabia

    Yassine Chargui

  2. Faculty of Sciences of Tunis, Nuclear Physics and High Energy Physics Research Unit, University of Tunis El Manar, 2092, Tunis, Tunisia

    Yassine Chargui & Anis Dhahbi

Authors
  1. Yassine Chargui
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  2. Anis Dhahbi
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Correspondence to Yassine Chargui.

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Chargui, Y., Dhahbi, A. The vector DKP oscillator in the plane with a magnetic field and the Snyder–de Sitter algebra. Eur. Phys. J. Plus 138, 531 (2023). https://doi.org/10.1140/epjp/s13360-023-04165-0

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