Comparison Theorems for the Eigenvalue Gap of Schrödinger Operators on the Real Line

被引：0

作者：

Duo-Yuan Chen

Min-Jei Huang

机构：

[1] National Tsing Hua University,Department of Mathematics

来源：

Annales Henri Poincaré | 2012年 / 13卷

关键词：

Harmonic Oscillator; Trial Function; Anharmonic Oscillator; Modern Mathematical Physic; Eigenvalue Ratio;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We establish several comparison results on the eigenvalue gap for Schrödinger operators on the real line. The potentials we consider here include symmetric single-well, double-well, Uc-class, Mc-class as well as their perturbations. Some related results on the eigenvalue ratio are also discussed.

引用

页码：85 / 101

页数：16

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