Generating functional and the functional analog of~Bogolyubov's variational method
Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 251-260
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On the basis of the generating functional introduced in this work (the functional is a natural generalization of the well-known Bogoliubov's generating functional to the case when path integrals are used in statistical mechanics), the functional analogue of the N. N. Bogoliubov variational method is investigated. The method suggested is illustrated by some nontrivial models of statistical mechanics.
@article{TMF_1980_45_2_a9,
author = {B. V. Moshchinskii and C. Rodriguez and V. K. Fedyanin},
title = {Generating functional and the functional analog {of~Bogolyubov's} variational method},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {251--260},
publisher = {mathdoc},
volume = {45},
number = {2},
year = {1980},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a9/}
}
TY - JOUR AU - B. V. Moshchinskii AU - C. Rodriguez AU - V. K. Fedyanin TI - Generating functional and the functional analog of~Bogolyubov's variational method JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1980 SP - 251 EP - 260 VL - 45 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a9/ LA - ru ID - TMF_1980_45_2_a9 ER -
%0 Journal Article %A B. V. Moshchinskii %A C. Rodriguez %A V. K. Fedyanin %T Generating functional and the functional analog of~Bogolyubov's variational method %J Teoretičeskaâ i matematičeskaâ fizika %D 1980 %P 251-260 %V 45 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a9/ %G ru %F TMF_1980_45_2_a9
B. V. Moshchinskii; C. Rodriguez; V. K. Fedyanin. Generating functional and the functional analog of~Bogolyubov's variational method. Teoretičeskaâ i matematičeskaâ fizika, Tome 45 (1980) no. 2, pp. 251-260. http://geodesic.mathdoc.fr/item/TMF_1980_45_2_a9/