Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect
Abstract In the present paper, we investigate the influence of topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect. Next, we determine the two-component Dirac spinor and the relativistic energy spectrum for the bound states. We observe t...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-7237-y |
| _version_ | 1818250048484409344 |
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| author | R. R. S. Oliveira |
| author_facet | R. R. S. Oliveira |
| author_sort | R. R. S. Oliveira |
| collection | DOAJ |
| description | Abstract In the present paper, we investigate the influence of topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect. Next, we determine the two-component Dirac spinor and the relativistic energy spectrum for the bound states. We observe that this spinor is written in terms of the confluent hypergeometric functions and this spectrum explicitly depends on the quantum numbers n and $$m_l$$ ml , parameters s and $$\eta $$ η associated to the topological and spin effects, quantum phase $$\varPhi _{AC}$$ ΦAC , and of the angular velocity $$\varOmega $$ Ω associated to the noninertial effects of a rotating frame. In the nonrelativistic limit, we obtain the quantum harmonic oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling. We note that the relativistic and nonrelativistic spectra grow in absolute values as functions of $$\eta $$ η , $$\varOmega $$ Ω , and $$\varPhi _{AC}$$ ΦAC and its periodicities are broken due to the rotating frame. Finally, we compared our problem with other works, where we verified that our results generalizes some particular planar cases of the literature. |
| first_indexed | 2024-12-12T15:46:12Z |
| format | Article |
| id | doaj.art-3f51208057294c95b1c4e00fd5586238 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-12T15:46:12Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-3f51208057294c95b1c4e00fd55862382022-12-22T00:19:46ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-08-017991810.1140/epjc/s10052-019-7237-yTopological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effectR. R. S. Oliveira0Departamento de Física, Universidade Federal do CearáAbstract In the present paper, we investigate the influence of topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect. Next, we determine the two-component Dirac spinor and the relativistic energy spectrum for the bound states. We observe that this spinor is written in terms of the confluent hypergeometric functions and this spectrum explicitly depends on the quantum numbers n and $$m_l$$ ml , parameters s and $$\eta $$ η associated to the topological and spin effects, quantum phase $$\varPhi _{AC}$$ ΦAC , and of the angular velocity $$\varOmega $$ Ω associated to the noninertial effects of a rotating frame. In the nonrelativistic limit, we obtain the quantum harmonic oscillator with two types of couplings: the spin-orbit coupling and the spin-rotation coupling. We note that the relativistic and nonrelativistic spectra grow in absolute values as functions of $$\eta $$ η , $$\varOmega $$ Ω , and $$\varPhi _{AC}$$ ΦAC and its periodicities are broken due to the rotating frame. Finally, we compared our problem with other works, where we verified that our results generalizes some particular planar cases of the literature.http://link.springer.com/article/10.1140/epjc/s10052-019-7237-y |
| spellingShingle | R. R. S. Oliveira Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect European Physical Journal C: Particles and Fields |
| title | Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect |
| title_full | Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect |
| title_fullStr | Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect |
| title_full_unstemmed | Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect |
| title_short | Topological, noninertial and spin effects on the 2D Dirac oscillator in the presence of the Aharonov–Casher effect |
| title_sort | topological noninertial and spin effects on the 2d dirac oscillator in the presence of the aharonov casher effect |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-7237-y |
| work_keys_str_mv | AT rrsoliveira topologicalnoninertialandspineffectsonthe2ddiracoscillatorinthepresenceoftheaharonovcashereffect |