Geodesic
Derivation of kinetic equations in the statistical $T$-matrix approximation
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 80-91 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In contrast to the previous paper of the authors, allowance is made for the line width in the eikonal propagators and an eikonal amplitude of quasiparticle scattering is obtained for a general dispersion law in the form of a Lorentz curve. The explicit form is obtained of a generalized kinetic equation with self-consistent field, dissipative terms, and collision integral with cross section that depends on the total momentum, the statistics, and the damping of the quasiparticles. The corresponding transport equations suitable for describing relaxation in dense media are given. A statisticaI $T$-matrix of three-particle correlations is introduced and its eikonal approximations and the corresponding expressions for the generalized three-particle collision integrals are proposed. 
@article{TMF_1976_28_1_a6,
     author = {A. V. Bogdanov and G. V. Dubrovskiy},
     title = {Derivation of kinetic equations in the statistical $T$-matrix approximation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {80--91},
     year = {1976},
     volume = {28},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a6/}
}
TY  - JOUR
AU  - A. V. Bogdanov
AU  - G. V. Dubrovskiy
TI  - Derivation of kinetic equations in the statistical $T$-matrix approximation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 80
EP  - 91
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a6/
LA  - ru
ID  - TMF_1976_28_1_a6
ER  - 
%0 Journal Article
%A A. V. Bogdanov
%A G. V. Dubrovskiy
%T Derivation of kinetic equations in the statistical $T$-matrix approximation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 80-91
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a6/
%G ru
%F TMF_1976_28_1_a6
A. V. Bogdanov; G. V. Dubrovskiy. Derivation of kinetic equations in the statistical $T$-matrix approximation. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 80-91. http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a6/

[1] L. Kadanov, G. Beim, Kvantovaya statisticheskaya mekhanika, «Mir», 1964

[2] E. Byckling, Phys. Rev., 145 (1966), 71 | DOI

[3] L. Kadanoff, P. C. Martin, Phys. Rev., 124 (1961), 670 | DOI | MR | Zbl

[4] K. A. Brueckner, J. H. Gammel, Phys. Rev., 109 (1958), 1023 | DOI | MR

[5] A. B. Migdal, Teoriya konechnykh fermi-sistem i svoistva atomnykh yader, «Nauka», 1965

[6] A. V. Bogdanov, G. V. Dubrovskii, TMF, 23 (1975), 94

[7] R. Glauber, UFN, 103 (1971), 641 | DOI

[8] J. M. Allerton, B. S. Bhakar, Canad. J. Phys., 52 (1974), 830

[9] Yu. L. Klimontovich, UFN, 110 (1973), 4 | DOI

[10] G. Mazenko, Phys. Rev., A9 (1974), 360 | DOI

[11] G. V. Dubrovskiy, A. V. Bogdanov, I. Fisher-Hjalmars, Chem. Phys., 7 (1975), 405 | DOI

[12] G. V. Dubrovskii, A. V. Bogdanov, ZhETF, 64 (1973), 1581

[13] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR

[14] S. V. Peletminskii, TMF, 6 (1971), 123

[15] D. Girshfelder, Ch. Kertis, R. Berd, Molekulyarnaya teoriya gazov i zhidkostei, IL, 1961

[16] S. Cho, Dzh. Ulenbek, V knige: Dzh. Ulenbek, Dzh. Ford, Lektsii po statisticheskoi mekhanike, «Mir», 1965

[17] C. A. Orzalesi, Ann. Phys., 88 (1974), 88 | DOI | MR