This article is cited in 1 paper

Choice of measure and Liouville's equation in weakly relativistic statistical mechanics

V. N. Logozinskii, I. P. Pavlotsky


Abstract: The form of the Liouville equation depends on the choice of the measure in phase space. For the post-Newtonian approximation in statistical mechanics, classes of measures are found that are invariant along the trajectories in the phase space, and also measures that lead to probabilities invariant under a Lorentz transformation.

Received: 08.06.1978

 English version: Theoretical and Mathematical Physics, 1979, 39:3, 554–559

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