On absolute continuity of the spectrum of periodic Schrodinger operators

被引:0
作者
Seo, Ihyeok [1 ]
机构
[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea
来源
MONATSHEFTE FUR MATHEMATIK | 2016年 / 180卷 / 04期
关键词
Absolute continuity; Spectrum; Schrodinger operators; UNIFORM SOBOLEV INEQUALITIES; UNIQUE CONTINUATION; POTENTIALS; EQUATIONS; GAPS;
D O I
10.1007/s00605-015-0815-7
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper we find a new condition on a real periodic potential for which the self-adjoint Schrodinger operator may be defined by a quadratic form and the spectrum of the operator is purely absolutely continuous. This is based on resolvent estimates and spectral projection estimates in weighted spaces on the torus, and an oscillatory integral theorem.
引用
收藏
页码:893 / 912
页数:20
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