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Approximate Neutrality of Large-Z Ions

Lieb, Elliott H. and Sigal, Israel M. and Simon, Barry and Thirring, Walter (2006) Approximate Neutrality of Large-Z Ions. In: The Stability of Matter: From Atoms to Stars: Selecta of Elliott H. Lieb. Springer-Verlag , Berlin/Heidelberg, pp. 103-112. ISBN 354022212X.

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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 → ∞.

Item Type:Book Section
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Lieb, Elliott H.0000-0001-5843-3587
Simon, Barry0000-0003-2561-8539
Additional Information:© 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].
Funding AgencyGrant Number
Natural Sciences and Engineering Research Council of Canada (NSERC)NA 7901
NSFPHY 85-15288-A01
Subject Keywords:Classical Energy; Pauli Principle; Hartree Equation; Schrodinger Operator; Classical Potential Theory
Record Number:CaltechAUTHORS:20190823-105107387
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:98167
Deposited By: George Porter
Deposited On:23 Aug 2019 19:43
Last Modified:16 Nov 2021 17:37

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