Interaction of the Dirac oscillator with the Aharonov–Bohm potential in (1+2)-dimensional Gürses space–time backgrounds

In this paper, we study the relativistic quantum dynamics of spin-12 particles interact with electromagnetic potentials in three-dimensional space–time. We solve the Dirac oscillator including the Aharonov–Bohm potential in (1+2)-dimensional rotational symmetry Gürses metric (Gürses, 1994), and anal...

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Bibliographic Details
Published inAnnals of physics Vol. 415; p. 168113
Main Author Ahmed, Faizuddin
Format Journal Article
LanguageEnglish
Published Elsevier Inc 01.04.2020
Subjects
Electromagnetic interactions
Energy spectrum
Relativistic wave equations
Rotational symmetry
Special functions : Nikiforov–Uvarov method
Wave-functions
Energy spectrum
Relativistic wave equations
Special functions : Nikiforov–Uvarov method
Electromagnetic interactions
Rotational symmetry
Wave-functions
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ISSN0003-4916
1096-035X
DOI10.1016/j.aop.2020.168113

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Summary:In this paper, we study the relativistic quantum dynamics of spin-12 particles interact with electromagnetic potentials in three-dimensional space–time. We solve the Dirac oscillator including the Aharonov–Bohm potential in (1+2)-dimensional rotational symmetry Gürses metric (Gürses, 1994), and analyze the Aharonov–Bohm effect on the energy eigenvalues. •Investigation of Dirac Oscillator in 3D rotational symmetry space–time and analyze the rotational effect on the eigenvalues.•Interaction with AB potential and analyze the analogue effect to the Aharonov–Bohm effects.
ISSN:0003-4916
1096-035X
DOI:10.1016/j.aop.2020.168113