An efficient technique to calculate the normalized wave functions in arbitrary one-dimensional quantum well structures

We present a simple yet unified technique to calculate: (i) the eigenenergies and the normalized eigenstates in quantum wells, (ii) the energy broadened spatially varying density-of-states in leaky quantum wells where the particle lifetime is finite, and (iii) the energy position dependent density-of-states in quantum wells where phase-breaking and/or inelastic scattering processes are present. The method is based on the Green’s function formalism. The method is particularly attractive in numerical calculations of multibarrier devices in which the estimation of the self-consistent potential is desired.