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.
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