Physics – Mathematical Physics
Scientific paper
2007-05-17
Physics
Mathematical Physics
LaTeX, 9 pages; in memoriam Vladimir A. Geyler (1943-2007)
Scientific paper
10.1134/S1061920807040085
In this paper we attempt to reconstruct one of the last projects of Volodya Geyler which remained unfinished. We study motion of a quantum particle in the plane to which a halfline lead is attached assuming that the particle has spin $\frac12$ and the plane component of the Hamiltonian contains a spin-orbit interaction of either Rashba or Dresselhaus type. We construct the class of admissible Hamiltonians and derive an explicit expression for the Green function applying it to the scattering in such a system.
Exner Pavel
Seba Petr
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