A+ CATEGORY SCIENTIFIC UNIT

A geometric estimate for a periodic Schrödinger operator

Volume 83 / 2000

Thomas Friedrich Colloquium Mathematicum 83 (2000), 209-216 DOI: 10.4064/cm-83-2-209-216

Abstract

We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $-4{d^2}/{ds^2} + κ^2(s)$ with potential given by the curvature of a closed curve.

Authors

  • Thomas Friedrich

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