Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra

Details Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra

2011-01-14

arxiv.org/abs/1101.2801v2

IJMPA, Vol. 26, No. 29 (2011) 4991-5003

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, 2 figures, improvements and changes are added, Final version published in IJMPA

Scientific paper

10.1142/S0217751X11054887

We consider the influence of a noncommutative space on the Klein-Gordon and the Dirac oscillators. The nonrelativistic limit is taken and the $\theta$-modified Hamiltonians are determined. The corrections of these Hamiltonians on the energy levels are evaluated in first-order perturbation theory. It is observed a total lifting of the degeneracy to the considered levels. Such effects are similar to the Zeeman splitting in a commutative space.

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