Geodesic
Choice of measure and Liouville's equation in weakly relativistic statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 39 (1979) no. 3, pp. 417-424 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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. 
@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
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/

[1] I. P. Pavlotskii, Preprint IPM AN SSSR No 120, M., 1976

[2] V. A. Fok, Teoriya prostranstva, vremeni i tyagoteniya, Gostekhizdat, 1955

[3] F. D. Kennedy, Amer. J. Phys., 40, 1 ; (1972), 63 | MR | Zbl | DOI

[4] H. Arzeliés, Thermodynamique relativiste et quantique, Paris, 1968