University of Heidelberg, **Applied Analysis Seminar**

Prof. boshi. Li Chen (Inst. Mathematics, Univ. Mannheim)

The Maximal Negative Ion of the Time-Dependent Thomas-Fermi and the Vlasov Atom

*INF 205, SR1*

The Maximal Negative Ion of the Time-Dependent Thomas-Fermi and the Vlasov Atom

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.

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