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Relativistic canonical formalism and the invariant single-particle distribution function in the general theory of relativity

  • Physics of Elementary Particles and Field Theory
  • Published:
Soviet Physics Journal Aims and scope

Abstract

The relativistic canonical formalism is used to construct an eight-dimensional phase space and an invariant distribution function, and integral and differential operations in the phase space and statistical averages, associated with the field of geodesic observers, are introduced. Liouville's theorem is proved.

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Literature cited

  1. Yu. G. V. Ignat'ev in: Gravitation and the Theory of Relativity [in Russian], Izd. KGU, Kazan (1978), No. 14, pp. 90–107.

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  2. A. A. Vlasov, Statistical Distribution Functions [in Russian], Nauka, Moscow (1966).

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  3. Yu. G. Ignat'ev, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 92 (1982).

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Authors and Affiliations

  1. V. I. Ul'yanov-Lenin State University, Kazan

    Yu. G. Ignat'ev

Authors
  1. Yu. G. Ignat'ev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 15–19, August, 1983.

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Ignat'ev, Y.G. Relativistic canonical formalism and the invariant single-particle distribution function in the general theory of relativity. Soviet Physics Journal 26, 686–690 (1983). https://doi.org/10.1007/BF00898874

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  • DOI: https://doi.org/10.1007/BF00898874

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