- 00-447 Pavel Exner and Takashi Ichinose
- Geometrically induced spectrum in curved leaky wires
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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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