Dirac oscillator in noncommutative space

  • We study the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and noncommutative spaces in S=V and S=-V symmetry limits. We calculate exact energy levels and the corresponding eigenfunctions by the Nikiforov-Uvarov (NU) method and report the impact of the spin and the magnetic flux on the problem. Helpful numerical data is included.
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S. S. Hosseini and S. Zarrinkamar. Dirac oscillator in noncommutative space[J]. Chinese Physics C, 2014, 38(6): 063104. doi: 10.1088/1674-1137/38/6/063104
S. S. Hosseini and S. Zarrinkamar. Dirac oscillator in noncommutative space[J]. Chinese Physics C, 2014, 38(6): 063104.  doi: 10.1088/1674-1137/38/6/063104 shu
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Received: 2013-07-11
Revised: 2013-12-09
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Dirac oscillator in noncommutative space

Abstract: We study the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and noncommutative spaces in S=V and S=-V symmetry limits. We calculate exact energy levels and the corresponding eigenfunctions by the Nikiforov-Uvarov (NU) method and report the impact of the spin and the magnetic flux on the problem. Helpful numerical data is included.

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