 01108 Pavel Exner, Kazushi Yoshitomi
 Asymptotics of eigenvalues of the Schroedinger operator
with a strong deltainteraction on a loop
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Mar 23, 01

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Abstract. In this paper we investigate the operator
$H_{\beta}=\Delta\beta\delta(\cdot\Gamma)$
in $L^{2}({\Bbb R}^{2})$, where $\beta>0$
and $\Gamma$ is a closed $C^{4}$
Jordan curve in ${\Bbb R}^{2}$.
We obtain the asymptotic form of each eigenvalue
of $H_{\beta}$ as $\beta$ tends to infinity. We
also get the asymptotic form of the number of
negative eigenvalues of $H_{\beta}$ in the strong coupling
asymptotic regime.
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01108.tex