Spectral theory for slowly oscillating potentials .2. Schrodinger operators

被引：20
|
作者：
Stolz, G
机构：
[1] Department of Mathematics, University Alabama at Birmingham, Birmingham
来源：
MATHEMATISCHE NACHRICHTEN | 1997年 / 183卷
关键词：
Schrodinger operators; spectral theory; oscillating potentials;
D O I：
10.1002/mana.19971830116
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The absolutely continuous and singular spectrum of one-dimensional Schrodinger operators with slowly oscillating potentials and perturbed periodic potentials is studied, continuing similar investigations for Jacobi matrices from [14]. Trace class methods are used to locate the singular spectrum. The absolutely continuous spectrum is determined by iterated diagonalization of transfer matrices to prove boundedness of eigensolutions.
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页码：275 / 294
页数：20
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