Mathematics – Differential Geometry
Scientific paper
2004-04-22
Mathematics
Differential Geometry
enhanced results, 26 pages
Scientific paper
We give a new lower bound for the first gap $\lambda_2 - \lambda_1$ of the
Dirichlet eigenvalues of the Schr{\"o}dinger operator on a bounded convex
domain $\Omega$ in R$^n$ or S$^n$ and greatly sharpens the previous estimates.
The new bound is explicit and computable.
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