On the absolutely continuous spectrum of one-dimensional Schrodinger operators with square summable potentials

被引：140

作者：

Deift, P

Killip, R

机构：

[1] NYU, Courant Inst, New York, NY 10012 USA

[2] CALTECH, Pasadena, CA 91125 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1999年 / 203卷 / 02期

关键词：

D O I：

10.1007/s002200050615

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For continuous and discrete one-dimensional Schrodinger operators with square summable potentials, the absolutely continuous part of the spectrum is essentially supported by [0, infinity) and [-2, 2] respectively. This fact is proved by considering a priori estimates for the transmission coefficient.

引用

页码：341 / 347

页数：7

共 13 条

[1]

Christ M, 1997, MATH RES LETT, V4, P719

[2] Absolutely continuous spectrum for one-dimensional Schrodinger operators with slowly decaying potentials: Some optimal results [J].