Relativistic oscillators in the context of MS noncommutative model. (29th July 2020)

• Record Type: Journal Article
• Authors: Hamil, B.; Merad, A.; Merad, M.
• Is Part Of: Europhysics letters. Volume 131:Number 1(2020)
• Publication Date: 2020-07-29
• Subjects: 03.65.Ge -- 03.65.Pm -- 02.40.Gh; Physics -- Periodicals; Electronic journals; 530.05
• DOI: 10.1209/0295-5075/131/10003
• Languages: English
• ISSNs: 0295-5075

Abstract

Abstract: 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.