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The Stability of Matter: From Atoms to Stars pp 437–441Cite as

Stability of Matter in Magnetic Fields

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Abstract

In the presence of arbitrarily large magnetic fields, matter composed of electrons and nuclei was known to be unstable if a or Z is too large. Here we prove that matter is stable if α @lt; 0.06 and Zα 2 < 0.04.

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References

  1. J. Fröhlich, E. Lieb, and M. Loss, Commun. Math. Phys. 104, 251 (1986).

    Google Scholar 

  2. E. Lieb, Bull. Am. Math. Soc. 22, 1 (1990).

    Article  MathSciNet  MATH  Google Scholar 

  3. E. Lieb and H.-T. Yau, Commun. Math. Phys. 118, 177 (1988); Phys. Rev. Lett. 61, 1695 (1988).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  4. M. Loss and H.-T. Yau, Commun. Math. Phys. 104, 283 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. J. Avron, I. Herbst, and B. Simon, Duke Math. J. 45, 847 (1978); Commun. Math. Phys. 79, 529 (1981).

    Article  MathSciNet  MATH  Google Scholar 

  6. I. Daubechies and E. Lieb, Commun. Math. Phys. 90, 497 (1983).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. E. Lieb and M. Loss, Commun. Math. Phys. 104, 271 (1986).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. J. Conlon, Commun. Math. Phys. 94, 439 (1984).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. C. Fefferman and R. de la Llave, Rev. Math. Iberoameri- cana 2, 119(1986).

    Article  Google Scholar 

  10. J. Combes, R. Schrader, and R. Seiler, Ann. Phys. (N.Y.) 111, 1 (1978).

    Article  MathSciNet  ADS  Google Scholar 

  11. E. Lieb, Proc. Am. Math. Soc. Symposia Pure Math. 36, 241 (1980).

    Article  MathSciNet  Google Scholar 

  12. E. Lieb and W. Thirring, in Studies in Mathematical Physics, edited by E. H. Lieb, B. Simon, and A. Wightman (Princeton Univ. Press, Princeton, 1976), p. 269.

    Google Scholar 

  13. A. Lenard and F. Dyson, J. Math. Phys. 9, 698 (1968).

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Physics, Jadwin Hall, Princeton University, P.O. Box 708, Princeton, New Jersey, 08544, USA

    Elliott H. Lieb

  2. Department of Mathematics, Fine Hall, Princeton University, Princeton, New Jersey, 08544, USA

    Elliott H. Lieb & Jan Philip Solovej

  3. School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia, 30332, USA

    Michael Loss

Authors
  1. Elliott H. Lieb
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  2. Michael Loss
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  3. Jan Philip Solovej
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Editor information

Editors and Affiliations

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

    Walter Thirring

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© 2001 Springer-Verlag Berlin Heidelberg

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Lieb, E.H., Loss, M., Solovej, J.P. (2001). Stability of Matter in Magnetic Fields. In: Thirring, W. (eds) The Stability of Matter: From Atoms to Stars. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04360-8_31

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  • DOI: https://doi.org/10.1007/978-3-662-04360-8_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-04362-2

  • Online ISBN: 978-3-662-04360-8

  • eBook Packages: Springer Book Archive

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