Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 417-424
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V. N. Logozinskii; I. P. Pavlotsky. Choice of measure and Liouville's equation in weakly relativistic statistical mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 417-424. http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a12/
@article{TMF_1979_39_3_a12,
author = {V. N. Logozinskii and I. P. Pavlotsky},
title = {Choice of measure and {Liouville's} equation in weakly relativistic statistical mechanics},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {417--424},
year = {1979},
volume = {39},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a12/}
}
TY - JOUR
AU - V. N. Logozinskii
AU - I. P. Pavlotsky
TI - Choice of measure and Liouville's equation in weakly relativistic statistical mechanics
JO - Teoretičeskaâ i matematičeskaâ fizika
PY - 1979
SP - 417
EP - 424
VL - 39
IS - 3
UR - http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a12/
LA - ru
ID - TMF_1979_39_3_a12
ER -
%0 Journal Article
%A V. N. Logozinskii
%A I. P. Pavlotsky
%T Choice of measure and Liouville's equation in weakly relativistic statistical mechanics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1979
%P 417-424
%V 39
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1979_39_3_a12/
%G ru
%F TMF_1979_39_3_a12
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.
