The spin dynamics in the metallic cuprates are studied theoretically.
In the normal state, it is demonstrated that the interplay of correlat
ion effects and fermiology lead to a natural understanding of the cont
rasting wave vector dependences in the neutron scattering cross sectio
ns of the two best characterized cuprates: LaSrCuO and YBaCuO, as well
as the anomalous frequency and temperature dependences in the neutron
scattering cross sections and in the NMR relaxation rates 1/T-1 and 1
/T-2G In the superconducting state, the compatibility of the d-wave pa
iring state with magnetic data is explored.