The Schrödinger Equation and Cosmic Bodies

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


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.


Schrodinger Equation Model Star Quantum Statistical Mechanic Cosmic Body Model Neutron Star 
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    See: Friedrich Hund, Geschichte der Quantentheorie B.I. Wissenschaftsverlag Mannheim, Wien, Zürich, 2. Auflage 1975.Google Scholar
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    B. Baumgartner, Commun. math. phys. 48, 207, 1976.MathSciNetADSCrossRefGoogle Scholar
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    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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