  Ballistic Josephson junctions are studied in the presence of a spin-splitting
field and spin-orbit coupling. A generic expression for the quasi-classical
Green's function is obtained and with its help we analyze several aspects of
the proximity effect between a spin-textured normal metal (N) and singlet
superconductors (S). In particular, we show that the density of states may show
a zero-energy peak which is a generic consequence of the spin-dependent
couplings in heterostructures. In addition we also obtain the spin current and
the induced magnetic moment in a SNS structure and discuss possible coherent
manipulation of the magnetization which results from the coupling between the
superconducting phase and the spin degree of freedom. Our theory predicts a
spin accumulation at the S/N interfaces, and transverse spin currents flowing
perpendicular to the junction interfaces. Some of these findings can be
understood in the light of a non-Abelian electrostatics.
