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

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.

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

References in corpus (4)

• Topics in Noncommutative Geometry Inspired Physics
• Dirac Equation in Noncommutative Space for Hydrogen Atom
• Noncommutativity due to spin
• Non-commutative Supersymmetric Quantum Mechanics

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• Relativistic quantum dynamics of spin-0 massive charged particle in the presence of external fields in 4D curved space-time with a cosmic string
• Kappa-deformed Dirac oscillator in an external magnetic field
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