Sfb 288 Differential Geometry and Quantum Physics

Abstract for Sfb Preprint No. 382

A geometric estimate for a periodic Schrödinger operator whose potential is the curvature of a spherical curve

Thomas Friedrich

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

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