2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118257A simplified version of the Wigner--transformed time--dependent Hartree--Fock--Bogoliubov equations, leading to a solvable model for finite systems of fermions with pairing correlations, is introduced. In this model, pairing correlations result in a coupling of the Vlasov--type equation for the normal phase--space density with that for the imaginary part of the anomalous density. The effect of pairing correlations on the linear response of the system is studied for a finite one--dimensional system and an explicit expression for the correlated propagator is given.LaTex, 9 pages, 3 figures, talk given at the 11th International Conference on Nuclear Reaction Mechanisms, Varenna (Italy), June 2006Nuclear Theorytext