Effect of the quantum-well depth on the hole scattering and over-barrier resonant states

The effect of the quantum-well depth and the elastic strain due to lattice constant of well and barrier material difference on the hole scattering and over-barrier resonant hole states is studied. In the case of shallow quantum wells there is in fact a long-living over-barrier resonant hole state. When the magnitude of the quantum-well depth decreases, resonance peak of the absolute reflection becomes extremely narrow (against the background of the unity transmission at all energies except this narrow interval), shifts towards the energy value where opens the channel with propagating light hole and then vanishes. The energy of the absolute reflection almost coincides with the value of the real part of the energy of the S-matrix pole corresponding to the resonant state.