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

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

URL: http://arxiv.org/abs/2010.07632v1
Date: Thu, 15 Oct 2020 09:58:08 GMT
Title: Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media
Authors: O. I. Hryhorchak
Abstract summary: It was shown how to reformulate the problem of an investigation of mentioned systems in terms of a quantum wave impedance. 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.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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 $\delta-\delta'$ 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.

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