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

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

2009-02-13

arxiv.org/abs/0902.2253v1

Mathematics

Differential Geometry

Scientific paper

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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