Abstract:
In this talk, I will briefly describe the results in ionization problem in stability of matter, present a generalized version Lieb's inequality which playes important role in getting the excess charge estimate. Then in the time dependent case, for both Thomas-Fermi and Vlasov Atom, we show an atom of atomic number $Z$ described by the time-dependent Thomas-Fermi equation or the Vlasov equation cannot bind more than $4Z$ electrons. This is a joint work with Heinz Siedentop.