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.
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页码:2073 / 2080
页数:8
相关论文
共 15 条
[1]  
del Rio R, 1994, MATH RES LETT, V1, P437
[2]   OPERATORS WITH SINGULAR CONTINUOUS-SPECTRUM .2. RANK-ONE OPERATORS [J].
DELRIO, R ;
MAKAROV, N ;
SIMON, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 165 (01) :59-67
[3]   SINGULAR CONTINUOUS-SPECTRUM IS GENERIC [J].
DELRIO, R ;
JITOMIRSKAYA, S ;
MAKAROV, N ;
SIMON, B .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1994, 31 (02) :208-212
[4]  
DELRIO R, OPERATORS SINGULAR C, V4
[5]  
GORDON AY, 1992, FUNCT ANAL APPL, V25, P236
[6]   SINGULAR CONTINUOUS-SPECTRUM FOR PALINDROMIC SCHRODINGER-OPERATORS [J].
HOF, A ;
KNILL, O ;
SIMON, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1995, 174 (01) :149-159
[7]   OPERATORS WITH SINGULAR CONTINUOUS-SPECTRUM .3. ALMOST-PERIODIC SCHRODINGER-OPERATORS [J].
JITOMIRSKAYA, S ;
SIMON, B .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1994, 165 (01) :201-205
[8]  
KIRSCH W, 1985, ANN I H POINCARE-PHY, V42, P383
[9]  
MOLCHANOV S, 1992, LECTURES RANDOM MEDI
[10]   SINGULAR CONTINUOUS MEASURES IN SCATTERING THEORY [J].
PEARSON, DB .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1978, 60 (01) :13-36