  We study coherent transport through a semiconductor nanowire in the presence
of spin-orbit coupling and Zeeman splitting due to an applied magnetic field.
By employing analytical and numerical techniques we develop a theory for the
Josephson effect in the superconductor-semiconductor nanowire-superconductor
structure. We show that Josephson current through the clean semiconductor
nanowire exhibits a number of interesting features due to the interplay between
the Zeeman splitting and spin-orbit coupling. We also study effect how disorder
in the nanowire affects Andreev bound-state energy spectrum and calculate local
density of states at the junction.
