Statistical Physics

  • Eberhard Zeidler


During the study of the Big Bang in Section 58.15 we already made essential use of Planck’s radiation law. In order to find this law, Planck formulated his famous hypothesis about the quantization of energy for the harmonic oscillator. This was the hour of birth of quantum theory. Planck’s radiation law implies the Stefan-Boltzmann radiation law, which will be used during the following chapter in the discussion of Carleman’s radiation problem. In the present chapter we want to show how these important physical laws can be derived from general principles of statistical physics. The development of statistical physics is mainly connected with the names of Maxwell (1831–1879), Boltzmann (1844–1906), Gibbs (1839–1903), Planck (1858–1947), and Einstein (1879–1955).


Partition Function Neutron Star White Dwarf Fermi Statistic Dose Statistic 
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References to the Literature

  1. Classical works: Boltzmann (1873) (Boltzmann equation), (1909) (collected works), Gibbs (1902, M), Planck (1913, M).Google Scholar
  2. History of statistical physics: Sommerfeld (1954, M), Vol. 5, Cohen and Thirring (1973, P).Google Scholar
  3. Introduction: Kittel (1969, M).Google Scholar
  4. Classical textbooks: Planck (1913), Sommerfeld (1954), Vol. 5, Landau and Lifšic (1962), Vols. 5,9,10 (much material), Huang (1963).Google Scholar
  5. Modern presentation: Ruelle (1978, S), Wehrl (1978, S), Martin (1981, S), Balian (1982, L), Thirring (1983, M), Vol. 4, Kubo (1983, M), (1985, M).Google Scholar
  6. Infinite-dimensional systems in classical statistical mechanics: Petrina (1983, S).Google Scholar
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  12. Solvable models of quantum statistics: Dubin (1974, M), Baxter (1982, M), Sinai (1982, M), Simon (1987, M).Google Scholar
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  14. Spin glass theory: Mezard (1987, P).Google Scholar

Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Eberhard Zeidler
    • 1
  1. 1.Max-Planck-Institut für Mathematik in den NaturwissenschaftenLeipzigGermany

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