Electrons in a twisted quantum wire

We study electronic states in a straight twisted quantum wire with nonround identical crosssections turned relative to each other along the wire. The wire internal torsion is supposed to be small compared to the inverse wire width. This assumption allows us to transform the Hamiltonian to the single-subband one-dimensional form. Both uniform and nonuniform torsions are considered. The effective Hamiltonian (including spin-orbit interaction) for one-dimensional motion along the wire has been constructed.