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Part of the book series: NATO Advanced Study Institutes Series ((NSSB,volume 74))

Abstract

Real matter is composed of electrons and nuclei and non-relativistic quantum mechanics is supposed to give a correct description of its coarse structure. In this theory such a system is governed by the Hamiltonian

$${H_N} = \sum\limits_{i = 1}^N {} \frac{{p_i^2}}{{2{m_i}}} + \sum\limits_{i > j} {({e_i}{e_j} - \kappa {m_i}{m_j})} {\left| {{x_i} - {x_j}} \right|^{ - 1}}$$
(1.1)

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References

  1. F.J. Dyson, A. Lenard, J. Math. Phys. 8, 423 (1967)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. E.H. Lieb, W.E. Thirring, Phys. Rev. Lett. 35, 687 (1975), see ibid. 1116 for errata

    Google Scholar 

  3. W. Thirring, A Lower Bound with the Best Possible Constant for Coulomb Hamiltonians, Vienna preprint UWThPh-80-7, to appear in Comm. Math. Phys.

    Google Scholar 

  4. E.H. Lieb, W.E. Thirring, Inequalities for the Moments of the Eigenvalues of the Schrödinger Hamiltonian and Their Relation to Sobolev Inequalitites, in the volume dedicated to V. Bargmann, Princeton University Press 1976

    Google Scholar 

  5. R. Fowler, Monthly Notices 87, 114 (1926)

    ADS  Google Scholar 

  6. I. Frenkel, Z. f. Physik 50, 234 (1928)

    Article  ADS  Google Scholar 

  7. W. Anderson, Z. f. Physik 56, 851 (1929)

    Article  ADS  Google Scholar 

  8. E. Stoner, Phil. Mag. 9, 944 (1930)

    Google Scholar 

  9. S. Chandrasekhar, Phil. Mag. 11, 592 (1931)

    MATH  Google Scholar 

  10. S. Chandrasekhar, Astrophys. J. 74, 81 (1931)

    Article  ADS  MATH  Google Scholar 

  11. L. Landau, Phys. Z. d. Sowjetunion 1, 285 (1932)

    MATH  Google Scholar 

  12. R. Atkinson, F. Houtermans, Z. f. Physik 54, 656 (1929)

    Article  ADS  Google Scholar 

  13. C. Weizsäcker, Z. f. Physik 39, 633 (1938)

    MATH  Google Scholar 

  14. H. Bethe, Phys. Rev. 55, 434 (1939)

    Article  ADS  MATH  Google Scholar 

  15. W. Baade, F. Zwicky, Proc. Nat. Acad. 20, 259 (1934)

    Article  ADS  Google Scholar 

  16. G. Gamow, M. Schoenberg, Phys. Rev. 58, 1117 (1940) and ibid. 59, 539 (1941)

    MATH  Google Scholar 

  17. W. Thirring, Quantenmechanik von Atomen und Molekülen, Springer, Wien 1979, Equ. (3. 5, 23 )

    Google Scholar 

  18. W. Thirring, Quantenmechanik großer Systeme, Springer, Wien 1980, Equ. (2.2, 11) and (4. 1, 46; 3 )

    Google Scholar 

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© 1981 Plenum Press, New York

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Thirring, W. (1981). The Stability of Matter. In: Velo, G., Wightman, A.S. (eds) Rigorous Atomic and Molecular Physics. NATO Advanced Study Institutes Series, vol 74. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-3350-0_7

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  • DOI: https://doi.org/10.1007/978-1-4613-3350-0_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-3352-4

  • Online ISBN: 978-1-4613-3350-0

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