Asymmetric Double Quantum Wells with Smoothed Interfaces

We have derived and analyzed the wavefunctions and energy states for an asymmetric double quantum wells, broadened due to static interface disorder effects, within well known discreet variable representation approach for solving the one-dimensional Schrodinger equation. The main advantage of this approach is that it yields the energy eigenvalues and the eigenvectors in semiconductor nanostructures of different shapes as well as the strengths of the optical transitions between them. We have found that interface broadening effects change and shift energy levels to higher energies, but the resonant conditions near an energy coupling regions do not strongly distorted. A quantum-mechanical calculations based on the convolution method (smoothing procedure) of the influence of disorder on the motion of free particles in nanostructures is presented.