2020/10/23 by Orest Hryhorchak, V. Pastukhov, Hryhorchak, O. I. +1
Computer Science · Mathematics · Physics and Astronomy · #Coding theory and cryptography #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2010.12262
openalex publication_date 2020/10/23 · openalex created_date 2024/04/11 · openalex updated_date 2026/07/28
A finit periodic δ-δ' comb was solved by the help of both classical approach based on a direct solving of a Sr"odinger equation and a quantum wave impedance method. It was demonstrated that the violation of a periodicity leads to the formation of energy levels in band gaps. The expresion for a surface levels (Tamm's levels) were found in this model system. Obtained results allow extending the scope of theoretical models which are applicable for a describing real quantum mechanical systems as well as better understanding the physical properties of systems in which the boundary dependent states are involved, especially the influence of boundary dependent electronic states on the physical properties of low-dimensional systems.