Effects of heterogeneity of potential barriers and lattice finiteness in the Kronig - Penney model

Using the matrix formalism, the wave functions of continuum states and the energies of surface (Tamm) states are calculated in the modified Kronig - Penney model with a special geometry of the potential (an infinitely high potential barrier at the origin of the coordinates, bounding the region of electron motion to positive semi-axis; the height of the potential delta-barrier / the depth of the potential well closest to the origin of the coordinates differs from the height of all other barriers). Particular attention is paid to the case of size quantization in the lattice of finite length