Geodesic
A method for calculating time correlation functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 286-295 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A device that makes it possible to express a two-time Green's function in terms of higher correlation functions is used to develop a method for constructing a system of equations for the energies of correlation functions. Solutions of the system are considered in the limiting cases of long ($\vert t\vert\to\infty$) and short ($t\to\infty$) times. A calculation of the time of spin-spin relaxation in a rigid lattice by the proposed method yields a finite expression, while the ordinary procedure of decoupling leads to a trivial result. 
@article{TMF_1974_18_2_a14,
     author = {R. R. Nigmatullin},
     title = {A~method for calculating time correlation functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {286--295},
     year = {1974},
     volume = {18},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a14/}
}
TY  - JOUR
AU  - R. R. Nigmatullin
TI  - A method for calculating time correlation functions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1974
SP  - 286
EP  - 295
VL  - 18
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a14/
LA  - ru
ID  - TMF_1974_18_2_a14
ER  - 
%0 Journal Article
%A R. R. Nigmatullin
%T A method for calculating time correlation functions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1974
%P 286-295
%V 18
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a14/
%G ru
%F TMF_1974_18_2_a14
R. R. Nigmatullin. A method for calculating time correlation functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 18 (1974) no. 2, pp. 286-295. http://geodesic.mathdoc.fr/item/TMF_1974_18_2_a14/

[1] S. V. Tyablikov, Metody kvantovoi teorii magnetizma, «Nauka», 1965 | MR

[2] V. D. Ozrin, TMF, 4 (1970), 66

[3] Yu. A. Tserkovnikov, TMF, 7 (1971), 250

[4] R. Kubo, K. Tomita, Proc. Intern. Conf. Theor. Phys., Kyoto and Tokyo, 1953; J. Phys. Soc. Japan, 9 (1964), 888 | DOI

[5] D. Peik, Paramagnitnyi rezonans, «Mir», 1965

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

[7] L. D. Landau, E. M. Lifshits, Kvantovaya mekhanika, Fizmatgiz, 1963

[8] G. Kramer, Matematicheskie metody statistiki, IL, 1948

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

[10] W. S. C. Grant, M. W. P. Strandberg, Phys. Rev., 135, A715 ; (1964), A727 | DOI | MR | DOI

[11] M. McMillan, W. Opechowski, Canad. J. Phys., 38 (1960), 1168 | DOI

[12] K. Kambe, T. Isui, Progr. Theor. Phys., 8 (1952), 302 | DOI

[13] I. Svare, G. Seidel, Phys. Rev., 134 (1964), A172 | DOI