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.
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页码：85 / 101
页数：16
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