Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory

In this paper, we have investigated a scalar particle with position-dependent mass subject to a uniform magnetic field and a quantum flux, both coming from the background which is governed by the Kaluza-Klein theory. By modifying the mass term of the scalar particle, we insert the Cornell-type poten...

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Main Authors: E.V. B. Leite, H. Belich, R. L. L. Vitória
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2019/6740360
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author E.V. B. Leite
H. Belich
R. L. L. Vitória
author_facet E.V. B. Leite
H. Belich
R. L. L. Vitória
author_sort E.V. B. Leite
collection DOAJ
description In this paper, we have investigated a scalar particle with position-dependent mass subject to a uniform magnetic field and a quantum flux, both coming from the background which is governed by the Kaluza-Klein theory. By modifying the mass term of the scalar particle, we insert the Cornell-type potential. In the search for solutions of bound states, we determine the relativistic energy profile of the system in this background of extra dimension. Particular cases of this system are analyzed and a quantum effect can be observed: the dependence of the magnetic field on the quantum numbers of the solutions.
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series Advances in High Energy Physics
spelling doaj-art-82eabf8e00564682b694da3ff01f25852025-02-03T01:30:32ZengWileyAdvances in High Energy Physics1687-73571687-73652019-01-01201910.1155/2019/67403606740360Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein TheoryE.V. B. Leite0H. Belich1R. L. L. Vitória2Departamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, BrazilDepartamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, BrazilDepartamento de Física e Química, Universidade Federal do Espírito Santo, Av. Fernando Ferrari, 514, Goiabeiras, 29060-900, Vitória, ES, BrazilIn this paper, we have investigated a scalar particle with position-dependent mass subject to a uniform magnetic field and a quantum flux, both coming from the background which is governed by the Kaluza-Klein theory. By modifying the mass term of the scalar particle, we insert the Cornell-type potential. In the search for solutions of bound states, we determine the relativistic energy profile of the system in this background of extra dimension. Particular cases of this system are analyzed and a quantum effect can be observed: the dependence of the magnetic field on the quantum numbers of the solutions.http://dx.doi.org/10.1155/2019/6740360
spellingShingle E.V. B. Leite
H. Belich
R. L. L. Vitória
Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory
Advances in High Energy Physics
title Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory
title_full Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory
title_fullStr Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory
title_full_unstemmed Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory
title_short Effects of the Cornell-Type Potential on a Position-Dependent Mass System in Kaluza-Klein Theory
title_sort effects of the cornell type potential on a position dependent mass system in kaluza klein theory
url http://dx.doi.org/10.1155/2019/6740360
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