Approximate Neutrality of Large-Z Ions

Creators: Lieb, Elliott H.; Sigal, Israel M.; Simon, Barry; Thirring, Walter

Other:: Thirring, Walter

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Abstract

Let N(Z) denote the number of electrons which a nucleus of charge Z can bind in non-relativistic quantum mechanics (assuming that electrons are fermions). We prove that N(Z)/Z → 1 as Z → ∞.

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© Springer-Verlag Berlin Heidelberg New York 2005. Received December 7, 1987. Communicated by A. Jaffe. Research partially supported by the NSERC under Grant NA 7901 and by the USNSF under Grants DMS-8416049 and PHY 85-15288-A01. This work was begun while I.S. was at the Weizmann Institute, and B.S. would like to thank H. Dym and I. Sigal for the hospitality of that Institute. W.T. would like to thank E. Lieb for the hospitality of Princeton University, and M. Goldberger and R. Vogt for the hospitality of Caltech. An announcement appeared in [8].

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Approximate Neutrality of Large-Z Ions

Abstract

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