The propagator of conduction electrons in semiconductors with a delta-barrier or a delta-well potential I. General

The one-dimensional propagator problem is solved for conduction electrons near a planar defect imitated by a delta-barrier or by a delta-well in a semiconductor. On condition that interband transitions may be neglected, the propagator is derived for a wide class of (possibly non-parabolic) functions fitting in with the dispersion function E(k) in the bottom part of the conduction band.