Singular Schrödinger operators and Robin billiardsSpectral properties and asymptotic expansions

被引：0
|
作者：
Pavel Exner
机构：
[1] Nuclear Physics Institute,Department of Theoretical Physics
[2] Czech Academy of Sciences,Doppler Institute for Mathematical Physics and Applied Mathematics
[3] Czech Technical University,undefined
来源：
Afrika Matematika | 2020年 / 31卷
关键词：
Schrödinger operators; Singular interactions; Robin billiards; Discrete spectrum; Asymptotic expansions; 81Q37; 35J10;
D O I：
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中图分类号：
学科分类号：
摘要：
This paper summarizes the contents of a plenary talk at the Pan African Congress of Mathematics held in Rabat in July 2017. We provide a survey of recent results on spectral properties of Schrödinger operators with singular interactions supported by manifolds of codimension one and of Robin billiards with the focus on the geometrically induced discrete spectrum and its asymptotic expansions in term of the model parameters.
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页码：71 / 88
页数：17
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