Gap of the First Two Eigenvalues of the Schr\"odinger Operator with Nonconvex Potential
Differential Geometry
2009-02-16 v1 Analysis of PDEs
Abstract
We give a lower estimate of the gap of the first two eigenvalues of the Schrodinger operator with a nonconvex potential in terms of a distance associated with the potential. The results here can be applied to the double well potential.
Keywords
Cite
@article{arxiv.0902.2253,
title = {Gap of the First Two Eigenvalues of the Schr\"odinger Operator with Nonconvex Potential},
author = {Shing-Tung Yau},
journal= {arXiv preprint arXiv:0902.2253},
year = {2009}
}