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arXiv · 0902.2253

Gap of the First Two Eigenvalues of the Schrödinger Operator with Nonconvex Potential

Shing-Tung Yau
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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.

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Shing-Tung Yau. 2009-02-13. Gap of the First Two Eigenvalues of the Schrödinger Operator with Nonconvex Potential. https://arxiv.org/abs/0902.2253

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