https://doi.org/10.1140/epjc/s10052-020-7781-5
Regular Article - Theoretical Physics
The generalized Klein–Gordon oscillator in the background of cosmic string space-time with a linear potential in the Kaluza–Klein theory
Ajmal College of Arts and Science, Dhubri, 783324, Assam, India
* e-mail: faizuddinahmed15@gmail.com
** e-mail: faiz4U.enter@rediffmail.com
Received:
4
November
2019
Accepted:
26
February
2020
Published online:
6
March
2020
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.
© The Author(s), 2020
