Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect
Abstract In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharono...
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2021
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oai:doaj.org-article:662bc10d0e13460a8d63e3a6e0fb5c662021-12-02T10:49:30ZLinear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect10.1038/s41598-021-81273-w2045-2322https://doaj.org/article/662bc10d0e13460a8d63e3a6e0fb5c662021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81273-whttps://doaj.org/toc/2045-2322Abstract In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharonov–Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect.Faizuddin AhmedNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-9 (2021) |
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Medicine R Science Q Faizuddin Ahmed Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect |
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Abstract In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharonov–Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect. |
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article |
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Faizuddin Ahmed |
author_facet |
Faizuddin Ahmed |
author_sort |
Faizuddin Ahmed |
title |
Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect |
title_short |
Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect |
title_full |
Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect |
title_fullStr |
Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect |
title_full_unstemmed |
Linear confinement of generalized KG-oscillator with a uniform magnetic field in Kaluza–Klein theory and Aharonov–Bohm effect |
title_sort |
linear confinement of generalized kg-oscillator with a uniform magnetic field in kaluza–klein theory and aharonov–bohm effect |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/662bc10d0e13460a8d63e3a6e0fb5c66 |
work_keys_str_mv |
AT faizuddinahmed linearconfinementofgeneralizedkgoscillatorwithauniformmagneticfieldinkaluzakleintheoryandaharonovbohmeffect |
_version_ |
1718396593138302976 |