ar X iv : m at h - ph / 0 20 30 28 v 1 1 8 M ar 2 00 2 Curvature - induced bound states for a δ interaction supported by a curve in R 3
نویسندگان
چکیده
We study the Laplacian in L 2 (R 3) perturbed on an infinite curve Γ by a δ interaction defined through boundary conditions which relate the corresponding generalized boundary values. We show that if Γ is smooth and not a straight line but it is asymptotically straight in a suitable sense, and if the interaction does not vary along the curve, the perturbed operator has at least one isolated eigenvalue below the threshold of the essential spectrum.
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