Energy eigen value of zinc oxide triangular quantum well and its optical properties

Abstract

In this study we have developed the Hamiltonian and trial wave functions for the triangular quantum well. Then the schroendinger equation is solved analytically and numerically for determining the ground and excited state energy. This ground and excited state energy of triangular quantum well are calculated by using variational methods. The energy eigen value of states increase with an increment of applied field. By using the compact density matrix formalism and iterative procedure, the change in linear refractive index and absorptions coefficient is studied. The value of linear change in refractive index and absorption coefficient carried out for given value of transition energies and depending on the above calculated energy eigen value. As the transition energy or frequency increases, the peak of the spectra of the change in refractive index and change in linear absorption coefficient move toward the high energy region. Moreover, the magnitude of the absorption coefficient increases with an increment of transition energy.