Non-adiabatic electron-ion coupling in dynamical jellium model for metal clusters

We have applied the dynamical jellium model for metal clusters, which treat s simultaneously the vibrational modes of the ionic jellium background in a cluster, the quantized electron motion and the interaction between the ele ctronic and the ionic subsystems beyond the adiabatic approximation, for th e calculation of widths of electron excitations in metal clusters caused by multiphonon transitions, and investigated their temperature dependences. W e have also estimated the decay time and the energy relaxation time of elec tron excitations in metal clusters.