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.
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页码：509 / 532
页数：23
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