Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Quantum Effects on KG-Oscillator Feld Under a Cornell-Type Potential in Kaluza-Klein Theory

Version 1 : Received: 22 January 2021 / Approved: 25 January 2021 / Online: 25 January 2021 (12:23:12 CET)

How to cite: Ahmed, F. Quantum Effects on KG-Oscillator Feld Under a Cornell-Type Potential in Kaluza-Klein Theory. Preprints 2021, 2021010489 (doi: 10.20944/preprints202101.0489.v1). Ahmed, F. Quantum Effects on KG-Oscillator Feld Under a Cornell-Type Potential in Kaluza-Klein Theory. Preprints 2021, 2021010489 (doi: 10.20944/preprints202101.0489.v1).

Abstract

In this paper, we solve KG-oscillator in the five-dimensional cosmic string space-time background with a uniform magnetic field and quantum flux subject to a scalar potential of Cornell-type using KaluzaKlein theory, and observe the gravitational analogue of the AharonovBohm effect. We show that the energy eigenvalue and eigenfunction depends on the global parameters of the space-time, and also a quantum effect is seen due to the dependence of magnetic field on the quantum numbers of the system

Subject Areas

Kaluza-Klein theory; Relativistic wave equation; Aharonov-Bohm effect.

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