Bound states and third-harmonic generation in a semi-parabolic quantum well with an applied electric field

Within the framework of the compact density-matrix approach, the third-harmonic generation (THG) in an electric-field-biased semi-parabolic quantum well (QW) has been deduced and investigated. Via the method of displaced harmonic oscillation, the exact solution for the electronic states in a semi-parabolic QW with an applied electric field have also been determined. Numerical results on typical GaAs material show that electric field and confined potential frequency of semi-parabolic QW have obvious influences on the energy levels of electronic states and the THG in the semi-parabolic QW systems.