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. https://resolver.caltech.edu/CaltechAUTHORS:20190823-105107387
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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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| 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]. | ||||||||
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| Subject Keywords: | Classical Energy; Pauli Principle; Hartree Equation; Schrodinger Operator; Classical Potential Theory | ||||||||
| DOI: | 10.1007/3-540-27056-6_9 | ||||||||
| Record Number: | CaltechAUTHORS:20190823-105107387 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190823-105107387 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 98167 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | George Porter | ||||||||
| Deposited On: | 23 Aug 2019 19:43 | ||||||||
| Last Modified: | 16 Nov 2021 17:37 |
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