We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator with potential given by the curvature of a closed curve.
@article{bwmeta1.element.bwnjournal-article-cmv83i2p209bwm,
author = {Thomas Friedrich},
title = {A geometric estimate for a periodic Schr\"odinger operator},
journal = {Colloquium Mathematicae},
volume = {84/85},
year = {2000},
pages = {209-216},
zbl = {0963.58011},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv83i2p209bwm}
}
Friedrich, Thomas. A geometric estimate for a periodic Schrödinger operator. Colloquium Mathematicae, Tome 84/85 (2000) pp. 209-216. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv83i2p209bwm/
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