Geodesic
Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral
Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 3, pp. 351-372 
Yu. A. Tserkovnikov. Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral. Teoretičeskaâ i matematičeskaâ fizika, Tome 96 (1993) no. 3, pp. 351-372. http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a2/
@article{TMF_1993_96_3_a2,
     author = {Yu. A. Tserkovnikov},
     title = {Kinetic equations in the method of two-time finite-temperature {Green's} functions. {I.~Renormalization} of the collision integral},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {351--372},
     year = {1993},
     volume = {96},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a2/}
}
TY  - JOUR
AU  - Yu. A. Tserkovnikov
TI  - Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1993
SP  - 351
EP  - 372
VL  - 96
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a2/
LA  - ru
ID  - TMF_1993_96_3_a2
ER  - 
%0 Journal Article
%A Yu. A. Tserkovnikov
%T Kinetic equations in the method of two-time finite-temperature Green's functions. I. Renormalization of the collision integral
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1993
%P 351-372
%V 96
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1993_96_3_a2/
%G ru
%F TMF_1993_96_3_a2

Voir la notice de l'article provenant de la source Math-Net.Ru

A system of equations that includes a generalized kinetic equation and equations for the static correlation functions is constructed for a normal quantum system of interacting Bose and Fermi particles with two-body interaction on the basis of the method of two-time finite-temperature Green's functions. The equations are in general valid for systems with arbitrary density of the particles. A method of successive approximation that makes it possible to go beyond the usual low-density expansion is discussed. The proposed method leads to a renormalization of the collision integral and makes it possible to obtain correlation functions for the total energy density, including its potential part.

[1] Bogolyubov N. N., Problemy dinamicheskoi teorii v statisticheskoi fizike, Gostekhizdat, M., L., 1946 | MR

[2] Zubarev D. N., Morozov V. G., TMF, 60:2 (1984), 270–279 | MR

[3] Zubarev D. N., Morozov V. G., Omelyan I. P., Tokarchuk M. V., TMF, 87:1 (1991), 113–129 | MR | Zbl

[4] Zubarev D. N., Neravnovesnaya statisticheskaya termodinamika, Nauka, M., 1971

[5] Bogolyubov N. N., Tyablikov S. V., DAN SSSR, 126 (1959), 53–56 | Zbl

[6] Zubarev D. N., UFN, 71 (1960), 71–116 | DOI | MR

[7] Kubo R., J. Phys. Soc. Japan., 12:6 (1957), 570–586 | DOI | MR

[8] Tserkovnikov Yu. A., TMF, 49:2 (1981), 219–233 | MR

[9] Mazenko G. F., Phys. Rev.(A), 9:11 (1974), 360–387 | DOI | MR

[10] Mori H., Progr. Theor. Phys., 33:3 (1965), 423–453 | DOI

[11] Tserkovnikov Yu. A., TMF, 85:2 (1990), 258–287

[12] Faddeev L. D., Tr. MIAN SSSR, 69, 1963 | MR | Zbl