Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media

Abstract

This paper is dedicated to an application of a quantum wave impedance approach for a study of infinite and semi-infinite periodic systems. Both a Dirac comb and a $\delta -{\delta }^{\prime }$ comb as well as a Kronig-Penney model are considered. It was shown how to reformulate the problem of an investigation of mentioned systems in terms of a quantum wave impedance and it was demonstrated how much a quantum wave impedance approach simplifies studying these systems compared to other methods. The illustation of such a simplification was provided by application of classical approach, transfer matrix technique and a quatum wave impedance method for solving Kronig-Penney model.

18 pages, 2 figures

References in corpus (4)

• Reformulation of a transmission and reflection problems in terms of a quantum wave impedance function
• An application of a quantum wave impedance approach for solving a nonsymmetric single well problem
• Quantum wave impedance calculation for an arbitrary piesewise constant potential
• Application of a quantum wave impedance method for zero-range singular potentials

Cited by in corpus (5)

• Effective technique of numerical investigation of systems with complicated geometry of a potential
• Numerical study of quantum mechanical systems using a quantum wave impedance approach
• Analytical representation of an iterative formula for a quantum wave impedance determination in a case of a piecewise constant potential
• An application of a quantum wave impedance method to finite periodic structures
• Application of a quantum wave impedance approach for a quantum capacitance calculation