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Lieb-Thirring inequalities for geometrically induced bound states

Pavel Exner Helmut Linde Timo Weidl

TBD mathscidoc:1910.43096

Letters in Mathematical Physics, 70, (1), 83-95, 2004.10
We prove new inequalities of the Lieb-Thirring type on the eigenvalues of Schrdinger operators in wave guides with local perturbations. The estimates are optimal in the weak-coupling case. To illustrate their applications, we consider, in particular, a straight strip and a straight circular tube with either mixed boundary conditions or boundary deformations.
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@inproceedings{pavel2004lieb-thirring,
  title={Lieb-Thirring inequalities for geometrically induced bound states},
  author={Pavel Exner, Helmut Linde, and Timo Weidl},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020125756219221625},
  booktitle={Letters in Mathematical Physics},
  volume={70},
  number={1},
  pages={83-95},
  year={2004},
}
Pavel Exner, Helmut Linde, and Timo Weidl. Lieb-Thirring inequalities for geometrically induced bound states. 2004. Vol. 70. In Letters in Mathematical Physics. pp.83-95. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020125756219221625.
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