Absolutely Continuous Spectrum of Schrödinger Operators with Slowly Decaying and Oscillating Potentials

被引：0
|
作者：
A. Laptev
S. Naboko
O. Safronov
机构：
[1] Royal Institute of Technology (KTH),Department of Mathematics
[2] Saint-Petersburg State University,Faculty of Physics, Division of Mathematical Physics
来源：
Communications in Mathematical Physics | 2005年 / 253卷
关键词：
Neural Network; Statistical Physic; Complex System; Nonlinear Dynamics; Quantum Computing;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of this paper is to extend a class of potentials for which the absolutely continuous spectrum of the corresponding multidimensional Schrödinger operator is essentially supported by [0,∞). Our main theorem states that this property is preserved for slowly decaying potentials provided that there are some oscillations with respect to one of the variables.
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页码：611 / 631
页数：20
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