Dirac oscillator in noncommutative space

S. S. Hosseini; S. Zarrinkamar

doi:10.1088/1674-1137/38/6/063104

Chinese Physics C> 2014, Vol. 38> Issue(6) : 063104 DOI: 10.1088/1674-1137/38/6/063104

Dirac oscillator in noncommutative space

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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.

References

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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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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Dirac oscillator in noncommutative space

Received Date: 2013-07-11

Accepted Date: 2013-12-09

Available Online: 2014-06-05

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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Dirac oscillator in noncommutative space

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