On the band spectrum of a Schrödinger operator in a periodic system of domains coupled by small windows

被引：0
作者：
D. I. Borisov
机构：
[1] Univerzita Hradec Kralove,Institute of Mathematics CC USC RAS & Bashkir State Pedagogical University
来源：
Russian Journal of Mathematical Physics | 2015年 / 22卷
关键词：
Asymptotic Expansion; Brillouin Zone; Periodic System; Essential Spectrum; Band Spectrum;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A periodic system of domains coupled by small windows is considered. In a domain of this kind, we study the band spectrum of a Schrödinger operator subjected to the Neumann condition. We show that, near every isolated eigenvalue of a similar operator in the periodicity cell, there are several nonintersecting bands of the spectrum for the perturbed operator. We also discuss the position of points at which the band functions attain the edges of each band.
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页码：153 / 160
页数：7
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