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.

引用

页码：275 / 294

页数：20

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