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A “Hybrid Plane” with spin-orbit interaction

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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.

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Correspondence to P. Exner.

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In memoriam Vladimir A. Geyler (1943–2007)

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Exner, P., Šeba, P. A “Hybrid Plane” with spin-orbit interaction. Russ. J. Math. Phys. 14, 430–434 (2007).

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