Abstract
In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in five-dimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. We solve this equation and analyze an analogue of the Aharonov–Bohm effect for bound states. We observe that the energy level for each radial mode depend on the global parameters characterizing the space-time, the confining potential, and the magnetic field which shows a quantum effect.
Highlights
In this paper, we solve generalized KG-oscillator interacts with a uniform magnetic field in fivedimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory
Generalized Klein–Gordon oscillator (KGO) on curved background space-time induced by a spinning cosmic string coupled to a magnetic field including quantum flux[49], in magnetic cosmic string background under the National Academy, Gauripur, Assam 783331, India. email: faizuddinahmed15@gmail.com
We study generalized KGO by introducing a uniform magnetic field in the cosmic string line element using K KT1–5 under the effects of a linear confining potential, and analyze a relativistic analogue of the Aharonov–Bohm effect for bound states
Summary
We solve generalized KG-oscillator interacts with a uniform magnetic field in fivedimensional space-time background produced by topological defects under a linear confining potential using the Kaluza–Klein theory. The Aharonov–Bohm e ffect[53,54,55,56] is a quantum mechanical phenomena that describe phase shifts of the wave-function of a quantum particle due to the presence of a quantum flux produced by topological defects space-times This effect has investigated by several authors in different branches of physics, such as, in Newtonian theory[57], in bound states of massive fermions[58], in scattering of dislocated wave-fronts[59], on position-dependent mass system under torsion e ffects[42,48,60], in bound states solution of spin-0 scalar particles[49]. This effect has investigated using KKT with or without interactions of various kind in five-dimensional the Minkowski or cosmic string space-time b ackground[25,27,28,29,30,31,32,33,34]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
