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Quantum Chemistry

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

arXiv
Authors: O. I. Hryhorchak

Year

2020

Paper ID

19933

Status

Preprint

Abstract Read

~2 min

Abstract Words

105

Citations

N/A

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 δ-δ' 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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  • This paper is dedicated to an application of a quantum wave impedance approach for a study of infinite and semi-infinite periodic systems.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2010.07632 [2] arXiv https://arxiv.org/abs/2010.07632 [3] Publisher https://arxiv.org/abs/2010.07632

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