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

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

1999-04-22

arxiv.org/abs/math/9904123v2

Mathematics

Differential Geometry

Latex2.09, 9 pages

Scientific paper

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

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