Klein–Gordon oscillator subject to a Cornell-type potential in the rotating cosmic string space-time and Aharonov–Bohm effect

Abstract

Klein–Gordon oscillator in the background space-time generated by a rotating cosmic string subject to a Cornell-type scalar and Coulomb-type vector potentials including an internal magnetic flux is studied. We obtain the relativistic energy eigenvalues and the corresponding eigenfunctions and analyze a relativistic analogue of the Aharonov–Bohm effect for bound states.

Non-inertial effects on generalized KG-oscillator in the presence of Coulomb-type potential in topological defects geometry

“…Now, we evaluate the individual energy level and eigenfunction one by one as in [13,24,35,34]. For example, n = 1, we have ζ − 2 − 2 j = 2 and c 2 = 0 which implies…”

“…1 faizuddinahmed15@gmail.com ; faiz4U.enter@rediffmail.com Cosmic string space-time in polar coordinates (t, r, Φ, z) is described by the following line element [13,24,32,33,34] :…”

“…where ω > 0 is the constant angular velocity [24,34,35,36] of the rotating frame. Inserting this transformation into the metric (1), we obtain the following line element:…”

“…where the three vector gauge potential is defined by A = (0, A φ , 0) with the angular component [34,35,36,42,43]…”

Effects of Lorentz Symmetry Breaking and scalar Potential on Relativistic Quantum Oscillator

“…The relativistic quantum dynamics of scalar particle by solving the KGoscillator in various space-times background has been investigated by many authors [1,2,3,4,5,6,7,8,9,10,11]. The Klein-Gordon oscillator [12] 1 faizuddinahmed15@gmail.com ; faiz4U.enter@rediffmail.com was inspired by the Dirac oscillator [13] applied for spin- 1 2 particle.…”