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The Klein-Gordon and the Dirac oscillators in a noncommutative space

M. Mohadesi·B. Mirza
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Abstract

We study the Dirac and the klein-Gordon oscillators in a noncommutative space. It is shown that the Klein-Gordon oscillator in a noncommutative space has a similar behaviour to the dynamics of a particle in a commutative space and in a constant magnetic field. The Dirac oscillator in a noncommutative space has a similar equation to the equation of motion for a relativistic fermion in a commutative space and in a magnetic field, however a new exotic term appears, which implies that a charged fermion in a noncommutative space has an electric dipole moment.

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M. Mohadesi, B. Mirza. 2004-12-13. The Klein-Gordon and the Dirac oscillators in a noncommutative space. https://arxiv.org/abs/hep-th/0412122

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