00-447 Pavel Exner and Takashi Ichinose
Geometrically induced spectrum in curved leaky wires (43K, LaTeX2e) Nov 10, 00
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Abstract. We study measure perturbations of the Laplacian in $L^2(\R^2)$ supported by an infinite curve $\Gamma$ in the plane which is asymptotically straight in a suitable sense. We show that if $\Gamma$ is not a straight line, such a ``leaky quantum wire'' has at least one bound state below the threshold of the essential spectrum.

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