CORRELATION DYNAMICS OF FINITE FERMION SYSTEMS

The dynamical description of strongly interacting finite Fermi systems is based on coupled equations of motion for the one-body density matrix ρ(11′) and the two-body correlation function c2(12, 1′2′) as obtained from the density-matrix hierarchy. The truncation schemes considered exceed the conventional Brueckner-Hartree-Fock scheme and also apply for nonstationary problems. In the limit of slow processes in time the equation of motion for the two-body correlation function c2 can be integrated in time and closed expressions can be given for the dynamical evolution of ρ(11′). When performing a Wigner transformation and adopting semiclassical limits this gives a transport equation of the Uehling-Uhlenbeck type for the one-body phase-space distribution f(x, p;t). Furthermore, in the small amplitude limit, we obtain a set of coupled equations for particle-hole (p-h), 2p-2p, 2h-2h, 2p-2h, 1p-3h, 1h-3p amplitudes beyond the level of second RPA which provide a genuine basis for the description of giant resonances and their damping width. © 1990 Springer-Verlag.