We have derived and analyzed the wavefunctions and eigenstates for quantum wells (QW), broadened due to static
interface disorder, within Discreet Variable Representation (DVR) approach of Colbert and Miller. The main advantage
of this approach, which we have tested, is that it allows to obtain ab-initio and to analyze the shift and broadening of
resonance states in a semiconductor quantum wells of different shapes. Calculations based on the convolution methods
were used to include the influence of disorder to the formation of heterojunction interfaces.