Klein-Gordon oscillator under a linear central potential induced by Lorentz symmetry violation
Faizuddin Ahmed
Abstract
Abstract The Klein-Gordon oscillator under Lorentz symmetry violation determined by the tensor out of the Standard Model Extension (SME) is analyzed. We introduce angular frequency of the oscillator with a Klein-Gordon particle by replacing the momentum vector in the wave equation. We choose the scenario of Lorentz symmetry violation with the field configuration of a constant magnetic field along the z -direction and a cylindrical electric field along the radial direction. We then solved the wave equation and obtained the bound state solutions of the modified Klein-Gordon oscillator. We see that the angular frequency of oscillator depends on the quantum numbers of the system which shows a quantum effect and on Lorentz symmetry breaking parameters.