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

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

2004-12-13

arxiv.org/abs/hep-th/0412122v1

Commun.Theor.Phys. 42 (2004) 664-668

Physics

High Energy Physics

High Energy Physics - Theory

9 pages

Scientific paper

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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