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 rep...

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Published inChinese physics C Vol. 38; no. 6; pp. 23 - 29
Main Authors Hassanabadi, H., Hosseini, S. S., Zarrinkamar, S.
Format Journal Article
LanguageEnglish
Published 01.06.2014
Subjects
Eigenfunctions
Energy levels
Harmonics
Magnetic flux
Mathematical analysis
Mathematical models
Oscillators
Symmetry
对称性
振荡器
本征函数
狄拉克
能量水平
调和势
非交换
非对易空间
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ISSN1674-1137
0254-3052
DOI10.1088/1674-1137/38/6/063104

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Summary: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.
Bibliography: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.
Dirac oscillator, Aharonov-Bohm effect, harmonic potential, noncommutative space, Nikiforov-Uvarov（NU） method
11-5641/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1137
0254-3052
DOI:10.1088/1674-1137/38/6/063104