A Geometric Estimate for a Periodic Schrr Odinger Operator Whose Potential Is the Curvature of a Spherical Curve
نویسندگان
چکیده
We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator ?4 d 2 ds 2 + 2 (s) with potential given by the curvature of a closed curve.
منابع مشابه
Absolute Continuity of Periodic Schr odinger
We consider the Schrr odinger operator ? + V in R d with periodic potential V in the Kato class. We show that, if d = 2 or 3, the spectrum of ?+V is purely absolutely continuous.
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