Quantum Effects on Klein–Gordon Oscillator under a Cornell-type Potential in Kaluza–Klein Theory

We solve the Klein–Gordon oscillator equation in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux in the presence of a non-electromagnetic (or scalar) potential in the Kaluza–Klein theory, and observe a gravitational analogue of the Aharonov–Boh...

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Bibliographic Details
Published inGravitation & cosmology Vol. 27; no. 3; pp. 292 - 301
Main Author Ahmed, Faizuddin
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.07.2021
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Astroparticles
Classical and Quantum Gravitation
Eigenvalues
Eigenvectors
Magnetic fields
Observations and Techniques
Physics
Physics and Astronomy
Quantum numbers
Quantum Physics
Relativity
Relativity Theory
Spacetime
String theory
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Summary:We solve the Klein–Gordon oscillator equation in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux in the presence of a non-electromagnetic (or scalar) potential in the Kaluza–Klein theory, and observe a gravitational analogue of the Aharonov–Bohm qeffect. We see that the energy eigenvalues and the eigenfunction depends on the global parameters characterizing the space-time. Also, a quantum effect is observed due to the dependence of the magnetic field on the quantum numbers of the system.
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ISSN:0202-2893
1995-0721
DOI:10.1134/S0202289321030026