https://doi.org/10.1140/epjp/s13360-023-04165-0
Regular Article
The vector DKP oscillator in the plane with a magnetic field and the Snyder–de Sitter algebra
1
Department of Physics, College of Science and Arts at ArRass, Qassim University, Buraydah, Saudi Arabia
2
Faculty of Sciences of Tunis, Nuclear Physics and High Energy Physics Research Unit, University of Tunis El Manar, 2092, Tunis, Tunisia
Received:
18
January
2023
Accepted:
1
June
2023
Published online:
15
June
2023
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 
-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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. 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.
