Quantum-mechanical time-dependent calculation for Auger processes in the volume of metals

Auger charge-transfer processes occurring in the volume of metals have been formulated in full quantum mechanically. The time-dependent Hamiltonian de scribing these processes is written down using the jellium model, and solve d using the Keldysh Green function formalism. Our calculated self-energies take into account single-particle and plasmon excitations. We find the math ematical conditions under which the quantum-mechanical solution will be wel l approximated by the semiclassical solution of a rate equation. We perform numerical calculations for the He/Al system, and find that the semiclassic al solution is an excellent approximation in this case.