On Lacunas in the Lower Part of the Spectrum of the Periodic Magnetic Operator in a Strip

被引：0

作者：

Borisov D.I. ^{[1
,2
,3
]}

机构：

[1] Institute of Mathematics with Computer Center of the Ufa Science Center of the Russian Academy of Sciences, Ufa

[2] Bashkir State Pedagogical University, Ufa

[3] University of Hradec Králové, Hradec Králové

来源：

Journal of Mathematical Sciences | 2021年 / 253卷 / 5期

关键词：

D O I：

10.1007/s10958-021-05257-x

中图分类号：

学科分类号：

摘要：

We consider the Schrödinger periodic magnetic operator in an infinite flat straight strip. We prove that if the magnetic potential satisfies certain conditions and the period is small enough, then the lower part of the band spectrum has no inner lacunas. The length of the lower part of the band spectrum with no inner lacunas is calculated explicitly. The upper estimate for the small parameter allowing these results is calculated as a number as well. © 2021, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：599 / 617

页数：18

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