English

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

High Energy Physics - Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0412122,
  title  = {The Klein-Gordon and the Dirac oscillators in a noncommutative space},
  author = {M. Mohadesi and B. Mirza},
  journal= {arXiv preprint arXiv:hep-th/0412122},
  year   = {2007}
}

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9 pages