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Ballistic Josephson junctions are studied in the presence of a spin-splittingfield and spin-orbit coupling. A generic expression for the quasi-classicalGreen's function is obtained and with its help we analyze several aspects ofthe proximity effect between a spin-textured normal metal (N) and singletsuperconductors (S). In particular, we show that the density of states may showa zero-energy peak which is a generic consequence of the spin-dependentcouplings in heterostructures. In addition we also obtain the spin current andthe induced magnetic moment in a SNS structure and discuss possible coherentmanipulation of the magnetization which results from the coupling between thesuperconducting phase and the spin degree of freedom. Our theory predicts aspin accumulation at the S/N interfaces, and transverse spin currents flowingperpendicular to the junction interfaces. Some of these findings can beunderstood in the light of a non-Abelian electrostatics.

Ballistic Josephson junctions in the presence of generic spin dependent fields