Volume 131, Number 1, July 2020
|Number of page(s)||4|
|Published online||29 July 2020|
Relativistic oscillators in the context of MS noncommutative model
1 Département de TC de SNV, Université Hassiba Benbouali - Chlef, Algeria
2 PRIMALAB, Département de Physique, Faculté des Sciences de la matière, Université de Batna 1 - Batna, Algeria
3 Département des Sciences de la Matière, Faculté des Sciences Exactes, Université de Oum El Bouaghi Oum El Bouaghi, Algeria
Received: 9 December 2019
Accepted: 29 June 2020
In this letter, the relativistic oscillators in dimensions in the context of the Magueijo-Smolin (MS) noncommutative model are considered. In order to appreciate the influence of this deformation, the energy eigenvalues and eigenfunctions are determined for both cases for the Klein-Gordon and the Dirac oscillators. Our calculations show however that the energies and wave functions of the relativistic oscillator are modified by the deformation parameter.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.65.Pm – Relativistic wave equations / 02.40.Gh – Noncommutative geometry
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