论文标题

量子波阻抗的应用用于研究无限和半无限周期性介质

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

论文作者

Hryhorchak, O. I.

论文摘要

本文致力于应用量子波阻抗方法,用于研究无限和半侵犯周期系统的研究。都考虑了狄拉克梳子和$δ-δ$梳子以及kronig-penney模型。它显示了如何根据量子波阻抗对上述系统进行调查的问题,并证明了与其他方法相比,研究这些系统的量子波阻抗方法简化了多少。通过应用经典方法,转移矩阵技术和解决Kronig-Penney模型的Quatum Wave阻抗方法的应用提供了这种简化的幻象。

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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