English

Estimates on the Lower Bound of the First Gap

Differential Geometry 2007-05-23 v5 Mathematical Physics Analysis of PDEs math.MP

Abstract

We give a new lower bound for the first gap λ2λ1\lambda_2 - \lambda_1 of the Dirichlet eigenvalues of the Schr{\"o}dinger operator on a bounded convex domain Ω\Omega in Rn^n or Sn^n and greatly sharpens the previous estimates. The new bound is explicit and computable.

Keywords

Cite

@article{arxiv.math/0404418,
  title  = {Estimates on the Lower Bound of the First Gap},
  author = {Jun Ling},
  journal= {arXiv preprint arXiv:math/0404418},
  year   = {2007}
}

Comments

enhanced results, 26 pages

R2 v1 2026-07-22T17:04:41.311Z