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.

引用

页码：143 / 156

页数：14

共 50 条

[21] On the Absolutely Continuous Spectrum of Stark Operators
Galina Perelman
Communications in Mathematical Physics, 2003, 234 : 359 - 381
[22] Absolutely continuous spectrum of multidimensional Schrodinger operator
Denisov, SA
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2004, 2004 (74) : 3963 - 3982
[23] On the absolutely continuous spectrum of one-dimensional Schrodinger operators with square summable potentials
Deift, P
Killip, R
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1999, 203 (02) : 341 - 347
[24] Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrodinger operators
Last, Y
Simon, B
INVENTIONES MATHEMATICAE, 1999, 135 (02) : 329 - 367
[25] Absolutely Continuous Spectrum for Random Schrodinger Operators on the Fibonacci and Similar Tree-strips
Sadel, Christian
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY, 2014, 17 (3-4) : 409 - 440
[26] On the absolutely continuous spectrum of multi-dimensional Schrodinger operators with slowly decaying potentials
Safronov, O
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2005, 254 (02) : 361 - 366
[27] Schrodinger operators with matrix potentials. Transition from the absolutely continuous to the singular spectrum
Molchanov, S
Vainberg, B
JOURNAL OF FUNCTIONAL ANALYSIS, 2004, 215 (01) : 111 - 129
[28] Absolutely continuous spectrum of a Schrodinger operator on a tree
Kupin, S.
JOURNAL OF MATHEMATICAL PHYSICS, 2008, 49 (11)
[29] ON CONTINUOUS SPECTRUM OF SCHRODINGER OPERATORS
WEIDMANN, J
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1966, 19 (01) : 107 - &
[30] Absolutely Continuous Spectrum for Random Schrodinger Operators on Tree-Strips of Finite Cone Type
Sadel, Christian
ANNALES HENRI POINCARE, 2013, 14 (04): : 737 - 773

← 1 2 3 4 5 →