Gap of the First Two Eigenvalues of the Schr\"odinger Operator with Nonconvex Potential
classification
🧮 math.DG
math.AP
keywords
potentialeigenvaluesfirstnonconvexoperatorappliedassociateddistance
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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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