A hybrid plane with spin-orbit interaction

Pavel Exner Petr eba

TBD mathscidoc:1910.43106

Russian Journal of Mathematical Physics, 14, (4), 430-434, 2007.12
In this paper, we attempt to reconstruct one of the last and incomplete projects of Volodya Geyler. We study the motion of a quantum particle in the plane to which a halfline lead is attached, assuming that the particle has spin and the plane component of the Hamiltonian contains a spin-orbit interaction, of Rashba or Dresselhaus type. We construct a class of admissible Hamiltonians and derive an explicit expression for the Green function, which is applied to scattering in a system of this kind.
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@inproceedings{pavel2007a,
  title={A hybrid plane with spin-orbit interaction},
  author={Pavel Exner, and Petr eba},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130044221551635},
  booktitle={Russian Journal of Mathematical Physics},
  volume={14},
  number={4},
  pages={430-434},
  year={2007},
}
Pavel Exner, and Petr eba. A hybrid plane with spin-orbit interaction. 2007. Vol. 14. In Russian Journal of Mathematical Physics. pp.430-434. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191020130044221551635.
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