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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Published inAdvances in High Energy Physics Vol. 2019; no. 2019; pp. 1 - 7
Main Authors Leite, E. V. B., Vitória, R. L. L., Belich, H.
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Publishing Corporation 2019
Hindawi
John Wiley & Sons, Inc
Wiley
Subjects
Analysis
Electromagnetism
Magnetic fields
Quantum numbers
Relativism
Spacetime
Symmetry
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Summary: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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ISSN:1687-7357
1687-7365
DOI:10.1155/2019/6740360