Random Sturm-Liouville operators

被引：0
作者：
del Rio, Rafael [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, IIMAS, Mexico City 04510, DF, Mexico
来源：
APPLIED MATHEMATICS LETTERS | 2011年 / 24卷 / 02期
关键词：
Random operators; Sturm-Liouville problem; Anderson type model; Eigenvalues;
D O I：
10.1016/j.aml.2010.08.041
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Self-adjoint Sturm-Liouville operators H(omega) on L(2)(a, b) with random potentials are considered and it is proven, using positivity conditions, that for almost every omega the operator H(omega) does not share eigenvalues with a broad family of random operators and in particular with operators generated in the same way as H(omega) but in L(2) ((a) over tilde, (b) over tilde) where ((a) over tilde, (b) over tilde) subset of (a, b). (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：179 / 183
页数：5
相关论文
共 11 条
[1]  
Akhiezer NI., 1993, Theory of Linear Operators in Hilbert Space
[2]  
[Anonymous], 1990, PROBABILITY ITS APPL
[3]  
Atkinson FV., 1964, Discrete and Continuous Boundary Value Problems
[4]  
Cycon H.L., 1987, TEXTS MONOGRAPHS PHY
[5]  
DELRIO R, ARXIV09071934V1
[6]  
DELRIOCASTILLO RR, 1991, COMMUN MATH PHYS, V142, P421
[7]  
Gordon A.Y., 1998, Applicable Analysis, V71, P41
[8]  
KIRSCH W, 1989, LECT NOTES PHYS, V345, P264
[9]  
PEARSON DB, 1988, TECHNIQUES PHYS, V9
[10]  
STOLZ G, 1993, J REINE ANGEW MATH, V445, P31
12