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arXiv · 1101.2801

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

Roberto V. Maluf
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Abstract

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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Roberto V. Maluf. 2011-01-14. Noncommutative Space Corrections on the Klein-Gordon and Dirac Oscillators Spectra. https://doi.org/10.1142/s0217751x11054887

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