Geodesic
Theory of quantum relativistic kinetic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 2, pp. 262-266 
A. V. Prozorkevich; S. A. Smolyanskii. Theory of quantum relativistic kinetic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 2, pp. 262-266. http://geodesic.mathdoc.fr/item/TMF_1976_28_2_a11/
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     title = {Theory of quantum relativistic kinetic equations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The Tomonaga–Schwinger equation is used to obtain a quantum Liouville equation in a relativistically invariant form. The derivation of the system of kinetic equations for a quantum relativistic system consisting of several species of charged fermions interacting through the electromagnetic field is considered as an example. The calculations are made to second order in the coupling constant. It is shown that external fields are absent and the system is quasihomogeneous.

[1] P. Havas, Statistical Mechanics of Equilibrium and Non-equilibrium, North-Holland Publ. Co., Amsterdam, 1965 | MR

[2] R. Houtappel, H. van Dam, E. P. Wigner, Rev. mod. Phys., 37 (1965), 595 | DOI | MR

[3] R. Balescu, T. Kotera, Physica, 33 (1967), 558 | DOI | MR | Zbl

[4] R. Balescu, T. Kotera, E. Pina, Physica, 33 (1967), 581 | DOI | Zbl

[5] D. N. Zubarev, Neravnovesnaya statisticheskaya termodinamika, «Nauka», 1971

[6] N. N. Bogolyubov, D. V. Shirkov, Vvedenie v teoriyu kvantovannykh polei, «Nauka», 1973 | MR | Zbl

[7] S. Tomonaga, Progr. Theor. Phys., 1 (1946), 27 | DOI | MR | Zbl

[8] A. I. Alekseev, Primenenie metodov kvantovoi teorii polya k zadacham mnogikh tel, Sb., 65, Gosatomizdat, 1963

[9] V. V. Pustovalov, V. P. Silin, Tr. FIAN SSSR, 61 (1972), 42