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Approximate neutrality of large-Z ions

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Abstract

LetN(Z) denote the number of electrons which a nucleus of chargeZ can bind in non-relativistic quantum mechanics (assuming that electrons are fermions). We prove thatN(Z)/Z→1 asZ→∞.

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, 08544, Princeton, NJ, USA

    Elliott H. Lieb

  2. Department of Physics, Princeton University, 08544, Princeton, NJ, USA

    Elliott H. Lieb

  3. Department of Mathematics, University of Toronto, M5S 1A1, Toronto, Canada

    Israel M. Sigal

  4. Division of Physics, Mathematics and Astronomy, California Institute of Technology, 91125, Pasadena, CA, USA

    Barry Simon

  5. Institute for Theoretical Physics, University of Vienna, Vienna, Austria

    Walter Thirring

Authors
  1. Elliott H. Lieb
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  2. Israel M. Sigal
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  3. Barry Simon
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  4. Walter Thirring
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Additional information

Communicated by A. Jaffe

Research partially supported by the NSERC under Grant NA7901 and by the USNSF under Grants DMS-8416049 and PHY 85-15288-A01

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Lieb, E.H., Sigal, I.M., Simon, B. et al. Approximate neutrality of large-Z ions. Commun.Math. Phys. 116, 635–644 (1988). https://doi.org/10.1007/BF01224904

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  • DOI: https://doi.org/10.1007/BF01224904

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