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The Schrödinger Equation and Cosmic Bodies

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The Schrödinger Equation

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 17/1977))

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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.

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References

  1. See: Friedrich Hund, Geschichte der Quantentheorie B.I. Wissenschaftsverlag Mannheim, Wien, Zürich, 2. Auflage 1975.

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  2. R. H. Fowler, Monthly Notices 87, 114, 1926.

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  3. P. Hertel and W. Thirring, Commun. math, phys. 24, 22, 1971.

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  4. P. Hertel, H. Narnhofer and W. Thirring, Commun. math, phys. 28, 159, 1972.

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  5. B. Baumgartner, Commun. math. phys. 48, 207, 1976.

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  6. P. Hertel and W. Thirring, in: Quanten und Felder, H. P. Dürr (editor), Braunschweig 1971.

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© 1977 Springer-Verlag

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Hertel, P. (1977). The Schrödinger Equation and Cosmic Bodies. In: Thirring, W., Urban, P. (eds) The Schrödinger Equation. Acta Physica Austriaca, vol 17/1977. Springer, Vienna. https://doi.org/10.1007/978-3-7091-7673-3_10

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  • DOI: https://doi.org/10.1007/978-3-7091-7673-3_10

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-7675-7

  • Online ISBN: 978-3-7091-7673-3

  • eBook Packages: Springer Book Archive

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