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

[41] THE THOULESS FORMULA AND ABSENCE OF ABSOLUTELY CONTINUOUS-SPECTRUM OF SCHRODINGER-OPERATORS WITH PERTURBED RANDOM POTENTIALS
MALOZEMOV, LA
VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 1 MATEMATIKA MEKHANIKA, 1988, (06): : 3 - 6
[42] On the absolutely continuous spectrum of one-dimensional quasi-periodic Schrodinger operators in the adiabatic limit
Fedotov, A
Klopp, F
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 357 (11) : 4481 - 4516
[43] ABSENCE OF ABSOLUTELY CONTINUOUS-SPECTRUM OF FLOQUET OPERATORS
JOYE, A
JOURNAL OF STATISTICAL PHYSICS, 1994, 75 (5-6) : 929 - 952
[44] FLOQUET OPERATORS WITHOUT ABSOLUTELY CONTINUOUS-SPECTRUM
NENCIU, G
ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1993, 59 (01): : 91 - 97
[45] On the absolutely continuous spectrum of magnetic Schrödinger operators
Enblom A.
Journal of Mathematical Sciences, 2009, 156 (4) : 699 - 723
[46] Absolutely continuous spectrum of a Schrodinger operator, and the fourier transform of the potential
Densiov, SA
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2001, 8 (01) : 14 - 24
[47] Preservation of Absolutely Continuous Spectrum of Periodic Jacobi Operators Under Perturbations of Square-Summable Variation
U. Kaluzhny
M. Shamis
Constructive Approximation, 2012, 35 : 89 - 105
[48] Preservation of Absolutely Continuous Spectrum of Periodic Jacobi Operators Under Perturbations of Square-Summable Variation
Kaluzhny, U.
Shamis, M.
CONSTRUCTIVE APPROXIMATION, 2012, 35 (01) : 89 - 105
[49] EXAMPLES OF ABSOLUTELY CONTINUOUS SCHRODINGER-OPERATORS IN MAGNETIC-FIELDS
IWATSUKA, A
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 1985, 21 (02) : 385 - 401
[50] On the absence of absolutely continuous spectra for Schrodinger operators on radial tree graphs
Exner, Pavel
Lipovsky, Jiri
JOURNAL OF MATHEMATICAL PHYSICS, 2010, 51 (12)

← 1 2 3 4 5 →