The Klein-Gordon and the Dirac Oscillators in a Noncommutative Space |
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Authors: | B Mirza M Mohadesi |
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Institution: | 1. Department of Physics, Isfahan University of Technology, Isfahan 84154, Iran
;2. Institute for Studies in Theoretical Physics and Mathematics,
P.O. Box 5746, Tehran 19395, Iran |
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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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Keywords: | noncommutative geometry Landau problem Dirac oscillator |
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