Asymptotics of eigenvalues of the Schr odinger operator with a strong-interaction on a loop

Pavel Exner Kazushi Yoshitomi

TBD mathscidoc:1910.43412

In this paper we investigate the operator H=??(??) in L2 (R2), where> 0 and? is a closed C4 Jordan curve in R2. We obtain the asymptotic form of each eigenvalue of H as tends to in nity. We also get the asymptotic form of the number of negative eigenvalues of H in the strong coupling asymptotic regime. MSC: 35J10, 35P15
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@inproceedings{pavelasymptotics,
  title={Asymptotics of eigenvalues of the Schr odinger operator with a strong-interaction on a loop},
  author={Pavel Exner, and Kazushi Yoshitomi},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020144117119697941},
}
Pavel Exner, and Kazushi Yoshitomi. Asymptotics of eigenvalues of the Schr odinger operator with a strong-interaction on a loop. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020144117119697941.
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