  We introduce an integrable model of spin-polarized interacting electrons
subject to a spin-conserving spin-orbit interaction. Using Bethe Ansatz and
conformal field theory we calculate the exact large-time single-electron and
density correlations and find that while the spin-orbit interaction enhances
the single-electron Green's function, the density correlations get suppressed.
Adding a localized impurity and coupling it to the electrons so that
integrability is preserved, the dynamic correlations are found to change
significantly after a quantum quench with the impurity interaction switched on
suddenly. When the electrons are confined to a periodic structure, the
correlations are indifferent to the location of the impurity and only carry an
imprint of its intrinsic properties. We conjecture that this unusual feature
originates from the integrability of the model.
