An application of a quantum wave impedance method to finite periodic structures

Abstract

The relations between a quantum wave impedance function and elements of transfer and scattering matrixes for quantum mechanical systems with arbitrary localized form of potential were established. Obtained results allows using the advantages of both methods, namely a transfer matrix technique and a quantum wave impedance approach, for an investigating of nanosystems with a complicated geometry of a potential. A finit Dirac comb was solved and expressions for Tamm's levels in this system were derived within both approaches.