Pavel Exner and Petr \v{S}eba
A ``hybrid plane'' with spin-orbit interaction
(26K, LaTeX 2e)
ABSTRACT. 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.