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

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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.
Latex2.09, 9 pages

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Differential Geometry, 58G25, 53A05

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http://salesiana.dossiersoluciones.com/handle/123456789/78393

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9904123
 http://arxiv.org/abs/math/9904123

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arXiv