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arXiv 2004-04-22 0 views

Estimates on the Lower Bound of the First Gap

Ling, Jun

Original · EN

We give a new lower bound for the first gap λ₂ - λ₁ of the Dirichlet eigenvalues of the Schrödinger operator on a bounded convex domain Ω in Rⁿ or Sⁿ and greatly sharpens the previous estimates. The new bound is explicit and computable.

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