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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Autor principal: Faizuddin Ahmed
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/662bc10d0e13460a8d63e3a6e0fb5c66
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Medicine
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Science
Q
spellingShingle 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
description 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.
format article
author 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
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