Russian Journal of Mathematical Physics

, Volume 14, Issue 4, pp 430–434 | Cite as

A “Hybrid Plane” with spin-orbit interaction

  • P. ExnerEmail author
  • P. Šeba


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 ½ 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.


Green Function Plane Component Czech Academy Magnetic Case Resolvent Kernel 
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Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  1. 1.Nuclear Physics InstituteCzech Academy of SciencesŘež near PragueCzechoslovakia
  2. 2.Doppler InstituteCzech Technical UniversityPragueCzechoslovakia
  3. 3.University of Hradec KrálovéHradec KrálovéCzechia

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