Lower bounds on the spectral gap of one-dimensional Schrödinger operators

被引：0
|
作者：
Joachim Kerner
机构：
[1] FernUniversität in Hagen,Fakultät für Mathematik und Informatik
[2] Bergische Universität Wuppertal,Fakultät für Mathematik und Naturwissenschaften
来源：
Archiv der Mathematik | 2022年 / 119卷
关键词：
Spectral gap; Schrödinger operators; Eigenvalues; 34L15; 34L40; 47E05; 47A10;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We establish an explicit lower bound on the spectral gap of one-dimensional Schrödinger operators with non-negative bounded potentials and subject to Neumann boundary conditions. In addition, for a smaller class of potentials, we provide an improved lower bound which holds on large intervals.
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页码：613 / 622
页数：9
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