Geodesic
A geometric estimate for a periodic Schrödinger operator
Colloquium Mathematicum, Tome 83 (2000) no. 2, pp. 209-216

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DOI

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.
DOI : 10.4064/cm-83-2-209-216
Keywords: spectrum, Fenchel inequality, Schrödinger operators, surfaces, Dirac operator 
Thomas Friedrich. A geometric estimate for a periodic Schrödinger operator. Colloquium Mathematicum, Tome 83 (2000) no. 2, pp. 209-216. doi: 10.4064/cm-83-2-209-216
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