Asymptotic Neutrality of Large-Z Ions

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

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Abstract

Let N(Z) denote the number of electrons that a nucleus of charge Z binds in nonrelativistic quantum theory. It is proved that (N(Z))/Z → 1 as Z → ∞. The Pauli principle plays a critical role.

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© 1984 American Physical Society. (Received 4 January 1984) Parts of this work were done while some of us were visiting others of us: B.S. should like to thank H. Dym and I. Sigal for the hospitality of the Weizmann Institute, and W.T. would like to thank E. Lieb for the hospitality of Princeton University and M. Goldberger and R. Vogt for the hospitality of the California Institute of Technology. This work was supported in part by National Science Foundation Grants No. PHY-81-16101-A01 and No. MCS-81-20833 and by U. S.-Israel Binational Science Foundation Grant No. 3188/83.

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