A “Hybrid Plane” with spin-orbit interaction |
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Authors: | P Exner P Šeba |
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Institution: | (1) Nuclear Physics Institute, Czech Academy of Sciences, 25068 Řež near Prague, Czechoslovakia;(2) Doppler Institute, Czech Technical University, Břehová 7, 11519 Prague, Czechoslovakia;(3) University of Hradec Králové, Víta Nejedlého 573, 50002 Hradec Králové, Czechia |
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Abstract: | 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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