The generalized Klein–Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza–Klein theory

In this work, we study the generalized Klein–Gordon oscillator with interactions on a curved background within the Kaluza–Klein theory. We solve the generalized Klein–Gordon oscillator in the cosmic string space-time with a linear scalar potential and obtain the energy eigenvalue and corresponding e...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2020-03, Vol.80 (3), p.1-12, Article 211
Main Author: Ahmed, Faizuddin
Format: Article
Language:English
Subjects:
Analysis
Astronomy
Astrophysics and Cosmology
Eigenvalues
Eigenvectors
Elementary Particles
Energy spectra
Hadrons
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Parameters
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum theory
Regular Article - Theoretical Physics
Relativity
Spacetime
String Theory
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Summary:In this work, we study the generalized Klein–Gordon oscillator with interactions on a curved background within the Kaluza–Klein theory. We solve the generalized Klein–Gordon oscillator in the cosmic string space-time with a linear scalar potential and obtain the energy eigenvalue and corresponding eigenfunction. We show that the energy spectrum depends on the global parameters characterizing the space-time and the confining potential parameter. We also solve the generalized Klein–Gordon oscillator in a magnetic cosmic string background in the Kaluza–Klein theory with a linear scalar potential and analyze the analogue effect to the Aharonov–Bohm effect for bound states.
ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-020-7781-5