Operators with singular continuous spectrum .5. Sparse potentials

被引:43
作者
Simon, B
Stolz, G
机构
关键词
D O I
10.1090/S0002-9939-96-03465-X
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
By presenting simple theorems for the absence of positive eigenvalues for certain one-dimensional Schrodinger operators, we are able to construct explicit potentials which yield purely singular continuous spectrum.
引用
收藏
页码:2073 / 2080
页数:8
相关论文
共 15 条
[12]   TRACE CLASS PERTURBATIONS AND THE ABSENCE OF ABSOLUTELY CONTINUOUS SPECTRA [J].
SIMON, B ;
SPENCER, T .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 125 (01) :113-125
[13]   OPERATORS WITH SINGULAR CONTINUOUS-SPECTRUM .1. GENERAL OPERATORS [J].
SIMON, B .
ANNALS OF MATHEMATICS, 1995, 141 (01) :131-145
[14]  
SIMON B, IN PRES P AM MATH SO
[15]  
STOLZ G, IN PRESS MATH NACHRI