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arXiv · 2010.07632

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

O. I. Hryhorchak
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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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BibTeXRIS

O. I. Hryhorchak. 2020-10-15. Application of a quantum wave impedance method for study of infinite and semi-infinite periodic media. https://arxiv.org/abs/2010.07632

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