Dirac oscillator and nonrelativistic Snyder-de Sitter algebra
Quantum Physics
2013-10-03 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
Three dimensional Dirac oscillator was considered in deformed space obeyed to deformed commutation relations known as Snyder-de Sitter algebra. Snyder-de Sitter commutation relations gives rise to appearance minimal uncertainty in position as well as in momentum. To derive energy spectrum and wavefunctions of the Dirac oscillator supersymmetric quantum mechanics and shape invariance technique was applied.
Keywords
Cite
@article{arxiv.1310.0706,
title = {Dirac oscillator and nonrelativistic Snyder-de Sitter algebra},
author = {M. M. Stetsko},
journal= {arXiv preprint arXiv:1310.0706},
year = {2013}
}
Comments
14 pages