SEMICLASSICAL, T-]INFINITY ASYMPTOTICS AND DISPERSIVE EFFECTS FOR HARTREE-FOCK SYSTEMS - DEDICATED TO NEUNZERT,HELMUT AT THE OCCASION OF HIS 60TH BIRTHDAY

We analyze the semiclassical limit and the ''t --> infinity asymptotic s'' of mildly nonlinear Schrodinger systems of (self-consistent) Hartr ee-Fock form, Using Wigner-function techniques we prove that the semic lassical limit is represented by the self-consistent Vlasov equation. Moreover we prove time decay for the position density and for the Hart ree-potential in L-P norms as t --> infinity. (C) Elsevier, Paris.