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Estimates on the Lower Bound of the First Gap

Jun Ling
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Abstract

We give a new lower bound for the first gap $λ_2 - λ_1$ of the Dirichlet eigenvalues of the Schr{ö}dinger operator on a bounded convex domain $Ω$ in R$^n$ or S$^n$ and greatly sharpens the previous estimates. The new bound is explicit and computable.

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Jun Ling. 2005-01-04. Estimates on the Lower Bound of the First Gap. https://arxiv.org/abs/math/0404418

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