Dirac oscillator and nonrelativistic Snyder-de Sitter algebra

作者:Stetsko M M*
来源:Journal of Mathematical Physics, 2015, 56(1): 012101.
DOI:10.1063/1.4905085

摘要

Three dimensional Dirac oscillator was considered in space with deformed commutation relations known as Snyder-de Sitter algebra. Snyder-de Sitter commutation relations give rise to appearance of minimal uncertainties in position as well as in momentum. To derive energy spectrum and wavefunctions of the Dirac oscillator, supersymmetric quantum mechanics and shape invariance technique were applied.

  • 出版日期2015-1