On the preservation of absolutely continuous spectrum for Schrodinger operators

被引：20
|
作者：
Denisov, SA [1 ]
机构：
[1] Inst Adv Study, Sch Math, Princeton, NJ 08540 USA
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2006年 / 231卷 / 01期
关键词：
absolutely continuous spectrum; Schrodinger operator; strip; Caley tree (Bethe lattice); multidimensional step-by-step sum rules;
D O I：
10.1016/j.jfa.2005.03.025
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present general principles for the preservation of a.c. spectrum under weak perturbations. The Schrodinger operators on the strip and on the Caley tree (Bethe lattice) are considered. (C) 2005 Elsevier Inc. All rights reserved.
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页码：143 / 156
页数：14
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