Kappa-deformed Dirac oscillator in an external magnetic field
High Energy Physics - Theory
2019-01-11 v1
Abstract
We study the solutions of the (2+1)-dimensional kappa-deformed Dirac oscillator in the presence of a constant transverse magnetic field. We demonstrate how the deformation parameter affects the energy eigenvalues of the system and the corresponding eigenfunctions. Our findings suggest that this system could be used to detect experimentally the effect of the deformation. We also show that the hidden supersymmetry of the non-deformed system reduces to a hidden pseudo-supersymmetry having the same algebraic structure as a result of the k-deformation.
Keywords
Cite
@article{arxiv.1712.09812,
title = {Kappa-deformed Dirac oscillator in an external magnetic field},
author = {Y. Chargui and A. Dhahbi and B. Cherif},
journal= {arXiv preprint arXiv:1712.09812},
year = {2019}
}
Comments
v1, 12 pages