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

Faizuddin Ahmed

doi:10.20944/preprints202101.0489.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

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

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

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

Physical Sciences, Acoustics

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

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