Effects of the Lorentz Symmetry Violation Caused by the Coupling Between the Vector Field f^μγ ^5 and the Derivative of the Fermionic Field on the Modified Pöschl-Teller, Woods-Saxon and Harmonic Oscillator Potentials

We study the Modified Pöschl-Teller potential, the Woods-Saxon potential and the harmonic oscillator potential under Lorentz symmetry violation effects caused by the coupling between the fixed vector field B^μ=f^μγ ^5 and the derivative of the fermionic field. We show that the Lorentz symmetry violation effects can influence the spectra of energy.