arXiv:math/0404418 Abstract

arXiv:math/0404418 [math.DG]Abstract References Reviews Resources

Estimates on the Lower Bound of the First Gap

Published 2004-04-22, updated 2005-01-04Version 5

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.

Comments: enhanced results, 26 pages

Categories: math.DG, math-ph, math.AP, math.MP

Subjects: 35J10, 35P15, 53C21

Keywords: lower bound, first gap, dirichlet eigenvalues, bounded convex domain

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