Bound States and the Third Harmonic Generation in anElectric Field Biased Semi-parabolic Quantum Well

Within the framework of the compact density matrix approach, thethird-harmonic generation (THG) in an electric-field-biased semi-parabolicquantum well (QW) has been deduced and investigated. Via variant ofdisplacement harmonic oscillation, the exact electronic states in thesemi-parabolic QW with an applied electric field have also been obtainedand discussed. Numerical results on typical GaAs material reveal that,electric fields and confined potential frequency of semi-parabolic QWhave obvious influences on the energy levels of electronic states andthe THG in the semi-parabolic QW systems.