Approximate neutrality of large-Z ions

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

Research output: Contribution to journalArticle

35 Scopus citations


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→∞.

Original languageEnglish (US)
Pages (from-to)635-644
Number of pages10
JournalCommunications In Mathematical Physics
Issue number4
StatePublished - Dec 1 1988

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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    Lieb, E. H., Sigal, I. M., Simon, B., & Thirring, W. (1988). Approximate neutrality of large-Z ions. Communications In Mathematical Physics, 116(4), 635-644.