2020/10/15 by Orest Hryhorchak, Hryhorchak, O. I. · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #FOS: Physical sciences #Matrix Theory and Algorithms #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2010.07632
openalex publication_date 2020/10/15 · openalex created_date 2020/10/22 · openalex updated_date 2026/07/28
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.