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On the number of particles that a curved quantum waveguide can bind

Pavel Exner Simeon A Vugalter

TBD mathscidoc:1910.43069

Journal of Mathematical Physics, 40, (10), 4630-4638, 1999.10
We discuss the discrete spectrum of N particles in a curved planar waveguide. If they are neutral fermions, the maximum number of particles that the waveguide can bind is given by a one-particle BirmanSchwinger bound in combination with the Pauli principle. On the other hand, if they are charged, e.g., electrons in a bent quantum wire, the Coulomb repulsion plays a crucial role. We prove a sufficient condition under which the discrete spectrum of such a system is empty.
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@inproceedings{pavel1999on,
  title={On the number of particles that a curved quantum waveguide can bind},
  author={Pavel Exner, and Simeon A Vugalter},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020123857641167598},
  booktitle={Journal of Mathematical Physics},
  volume={40},
  number={10},
  pages={4630-4638},
  year={1999},
}
Pavel Exner, and Simeon A Vugalter. On the number of particles that a curved quantum waveguide can bind. 1999. Vol. 40. In Journal of Mathematical Physics. pp.4630-4638. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020123857641167598.
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