A "hybrid plane" with spin-orbit interaction
Mathematical Physics
2019-12-10 v1 Mesoscale and Nanoscale Physics
math.MP
Spectral Theory
Quantum Physics
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 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.
Keywords
Cite
@article{arxiv.0705.2487,
title = {A "hybrid plane" with spin-orbit interaction},
author = {Pavel Exner and Petr Šeba},
journal= {arXiv preprint arXiv:0705.2487},
year = {2019}
}