Klein-Gordon Oscillator In The Framework Of Lorentz Symmetry Breakin

In recent years,some studies have suggested that the fine structure constant α=e2/hc changes slowly,and this fact implies that the speed of light is changing slowly.This change may be caused by the breaking of Lorentz symmetry.In this paper the generalized Klein-Gordon oscillator under the influence of two possible configurations produced by the Lorentz symmetry violation framework are investigated.The NU method is used to analyze the effect of Cornell’s potential function on the Klein-Gordon harmonic oscillator in the presence and absence of a magnetic field.In this context,some special cases of Klein-Gordon harmonic oscillators with Cornell potential function are analyzed in detail.It shows that energy eigenvalues of the bound state for two configurations obviously depend on all the parameters of the Lorentz symmetry breaking effect and the Cornell function.