Nuclear dynamics by self consistent methods: TDHF and ATDHF

The time dependent Hartree-Fock method is exposed. Using the Noether theorem, the invariants of the theory are found. Some techniques used for the solution of the equations are indicated. The TDHF results discussed encompass nuclear vibrations, the description of heavy-ion collisions and a study of Fermi hydrodynamics. Finally the adiabatic approximation is presented and it is shown how it can be used to extract collective potentials and mass parameters