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Atomic and Molecular Negative Ions

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The Stability of Matter: From Atoms to Stars

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Abstract

An upper bound is given for the maximum number, N c, of negative particles (fermions or bosons or a mixture of both) of charge −e that can be bound to an atomic nucleus of charge + ze. If z is integral then N c ⩽ 2z. In particular, this is the first proof that H−−is not stable. For a molecule, N c ⩽ 2Z + K − 1, where K is the number of atoms in the molecule and Z is the total nuclear charge.

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References

  1. M.B. Ruskai, Commun. Math. Phys. 82, 457 (1982).

    Article  MathSciNet  ADS  Google Scholar 

  2. I.M. Sigal, Commun. Math. Phys. 85, 309 (1982). See also Mathematical Problems in Theoretical Physics, Lecture Notes in Theoretical Physics Vol. 153, edited by G. Dell-Antonio, S. Doplicher, R. Jona-Lasinio (Springer-Verlag, Berlin, 1982), pp. 149–156.

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. M. B. Ruskai, Commun. Math. Phys. 85, 325 (1982).

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  4. I. M. Sigal, Institute Mittag Leffler Report No. 12, 1982, revised 1983 (to be published).

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  5. R. Benguria and E. H. Lieb, Phys. Rev. Lett. 50, 1771 (1983).

    Article  ADS  Google Scholar 

  6. R. N. Hill, in Mathematical Problems in Theoretical Physics, edited by K. Osterwalder, Lecture Notes in Physics Vol. 116 (Springer-Verlag, New York, 1979), pp. 52–56.

    Google Scholar 

  7. G. Zhislin, Tr. Mosk. Mat. Obshch. 9, 81 (1960).

    MATH  Google Scholar 

  8. E. H. Lieb, I. M. Sigal, B. Simon, and W. E. Thirring, “Asymptotic Bulk Neutrality of Large-Z Ions” (to be published), and to be published.

    Google Scholar 

  9. E. H. lieb, “Bound on the Maximum Negative Ionization of Atoms and Molecules,” Phys. Rev. A (to be published).

    Google Scholar 

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Authors and Affiliations

  1. Departments of Mathematics and Physics, Princeton University, Princeton, New Jersey, 08544

    Elliott H. Lieb

Authors
  1. Elliott H. Lieb
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Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Wien, Boltzmanngasse 5, 1090, Wien, Austria

    Walter Thirring

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© 2005 Springer-Verlag Berlin Heidelberg New York

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Lieb, E.H. (2005). Atomic and Molecular Negative Ions. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27056-6_7

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  • DOI: https://doi.org/10.1007/3-540-27056-6_7

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  • Print ISBN: 978-3-540-22212-5

  • Online ISBN: 978-3-540-27056-0

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