N-electron dynamics of a heavy atom in strong fields

A semi-classical model is built to study the dynamical behaviour of many-electron wavefunctions interacting with strong fields for applications such as the interaction of a laser beam with a high-Z gas at high intensity or the collision between two heavy ions in the intermediate velocity regime. Within the semi-classical model, quantum dynamics of the electrons is described from generalized coordinates, which, as a result of a variational principle, obey classical Lagrange equations. The formalism is first applied to hydrogen ions and then extended to many-electron systems.