Schrödinger Operators with Sparse Potentials: Asymptotics of the Fourier Transform¶of the Spectral Measure

被引：0

作者：

Denis Krutikov

Christian Remling

机构：

[1] Universität Essen,

[2] Fachbereich Mathematik/Informatik,undefined

[3] 45117 Essen,undefined

[4] Germany.¶E-mail: denis.kroutikov@uni-essen.de,undefined

[5] Universität Osnabrück,undefined

[6] Fachbereich Mathematik/Informatik,undefined

[7] 49069 Osnabrück,undefined

[8] Germany.¶E-mail: cremling@mathematik.uni-osnabrueck.de,undefined

来源：

Communications in Mathematical Physics | 2001年 / 223卷

关键词：

Fourier; Fourier Transform; Resonance Structure; Physical Interpretation; Spectral Measure;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the pointwise behavior of the Fourier transform of the spectral measure for discrete one-dimensional Schrödinger operators with sparse potentials. We find a resonance structure which admits a physical interpretation in terms of a simple quasiclassical model. We also present an improved version of known results on the spectrum of such operators.

引用

页码：509 / 532

页数：23

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