  The coupled dynamics of low lying modes, including the scissors mode, and
various giant quadrupole resonances are studied with the help of the Wigner
Function Moments method generalized to take into account spin degrees of
freedom. Equations of motion for collective variables are derived on the basis
of Time Dependent Hartree-Fock equations in the model of harmonic oscillator
with spin orbital mean field potential plus quadrupole-quadrupole residual
interaction. Introducing spin allows one to consider new types of nuclear
collective motion where the nucleons with spin 'up' oscillate against nucleons
with spin 'down'.
