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

Thomas Friedrich

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

Thomas Friedrich

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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.

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Thomas Friedrich. 1999-04-27. A geometric estimate for a periodic Schrödinger operator whose potential is the curvature of a spherical curve. https://arxiv.org/abs/math/9904123

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