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The Schrödinger Equation and Cosmic Bodies

  • P. Hertel
Conference paper
Part of the Acta Physica Austriaca book series (FEWBODY, volume 17/1977)

Abstract

Already in the very early days of the Schrodinger equation it was recognized that quantum theory was required to resolve problems of dense matter. Here a model star of non-relativistic neutrons which interact pairwise by the gravitational 1/r-potential is dealt with as a whole by quantum statistical mechanics. In an appropriate thermodynamic limit the free energy is given by Thomas-Fermi theory. The model neutron star undergoes a phase transition of first order if it cools down below a transition temperature.

Keywords

Schrodinger Equation Model Star Quantum Statistical Mechanic Cosmic Body Model Neutron Star 
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References

  1. 1.
    See: Friedrich Hund, Geschichte der Quantentheorie B.I. Wissenschaftsverlag Mannheim, Wien, Zürich, 2. Auflage 1975.Google Scholar
  2. 2.
    R. H. Fowler, Monthly Notices 87, 114, 1926.ADSGoogle Scholar
  3. 3.
    P. Hertel and W. Thirring, Commun. math, phys. 24, 22, 1971.MathSciNetADSzbMATHCrossRefGoogle Scholar
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    P. Hertel, H. Narnhofer and W. Thirring, Commun. math, phys. 28, 159, 1972.MathSciNetADSCrossRefGoogle Scholar
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    B. Baumgartner, Commun. math. phys. 48, 207, 1976.MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    P. Hertel and W. Thirring, in: Quanten und Felder, H. P. Dürr (editor), Braunschweig 1971.Google Scholar

Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • P. Hertel
    • 1
    • 2
  1. 1.Universität OsnabrückFederal Republic of Germany
  2. 2.OsnabrückFederal Republic of Germany

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