Generating functional method for spin variables
Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 260-273
Cet article a éte moissonné depuis la source Math-Net.Ru
The concept of a generating functional that allows one to find mean values of any product of spin operators by differentiation with respect to the functional argument is introduced. The equation for the time evolution of this functional is found and it replaces the equation of motion for the density matrix. By formulating suitable “boundary conditions,” one can transform this equation to an integral equation whose solution enables one to obtain “kinetic equations” for spin waves.
@article{TMF_1973_16_2_a11,
author = {S. V. Peletminskii and A. A. Yatsenko},
title = {Generating functional method for spin variables},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {260--273},
year = {1973},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a11/}
}
S. V. Peletminskii; A. A. Yatsenko. Generating functional method for spin variables. Teoretičeskaâ i matematičeskaâ fizika, Tome 16 (1973) no. 2, pp. 260-273. http://geodesic.mathdoc.fr/item/TMF_1973_16_2_a11/
[1] S. V. Peletminskii, A. A. Yatsenko, TMF, 3 (1970), 287
[2] F. Dyson, Phys. Rev., 102, 1217 ; (1956), 1930 | DOI | MR | Zbl
[3] N. N. Bogolyubov, Problemy dinamicheskoi teorii v statisticheskoi fizike, GTTI, 1946 | MR
[4] R. Nyuton, Teoriya rasseyaniya voln i chastits, «Mir», 1969 | MR
[5] E. C. G. Stückelberg, Helv. Phys. Acta, 25 (1952), 577 | MR | Zbl