https://doi.org/10.1140/epjp/s13360-023-03661-7
Regular Article
Noncommutative vector DKP oscillator in an external magnetic field
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:
22
March
2022
Accepted:
4
January
2023
Published online:
16
January
2023
In this paper, we considered the solutions of the Duffin–Kemmer–Petiau oscillator for spin-1 particles in the noncommutative plane for states associated with the spin-projection numbers 
. We show that the space noncommutativity acts exactly as an external magnetic field, thus resulting in bounds on the corresponding energy eigenvalues and a lifting of their degeneracy. Then, we studied the result of applying an external magnetic field for the obtained solutions. Notably, we found that the limits on the energy placed by the space noncommutativity are removed for a critical value of the magnetic field. The interesting particular case of a spin-one particle moving in a NC plane under an external magnetic field as well as the non-relativistic limit of the model is also discussed.
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