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.

引用

页码：613 / 622

页数：9

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