Bogolyubov's statistical variational principle and the Green's function method applied to the Heisenberg--Ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 129-148
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The link between Bogoiyubov's statistical variational principle for free energy, the method
of partial diagram summation of the perturbation theory, and the Luttinger–Ward theorem
is established. On the basis of Matsubara's Green's function method the nonlinear integral
Dyson equation is solved by approximating the effective potential and a new implicit equation
of magnetic state is obtained for the Ising model.
@article{TMF_1970_2_1_a10,
author = {Yu. G. Rudoi},
title = {Bogolyubov's statistical variational principle and the {Green's} function method applied to the {Heisenberg--Ising} model},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {129--148},
publisher = {mathdoc},
volume = {2},
number = {1},
year = {1970},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a10/}
}
TY - JOUR AU - Yu. G. Rudoi TI - Bogolyubov's statistical variational principle and the Green's function method applied to the Heisenberg--Ising model JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1970 SP - 129 EP - 148 VL - 2 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a10/ LA - ru ID - TMF_1970_2_1_a10 ER -
%0 Journal Article %A Yu. G. Rudoi %T Bogolyubov's statistical variational principle and the Green's function method applied to the Heisenberg--Ising model %J Teoretičeskaâ i matematičeskaâ fizika %D 1970 %P 129-148 %V 2 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a10/ %G ru %F TMF_1970_2_1_a10
Yu. G. Rudoi. Bogolyubov's statistical variational principle and the Green's function method applied to the Heisenberg--Ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 2 (1970) no. 1, pp. 129-148. http://geodesic.mathdoc.fr/item/TMF_1970_2_1_a10/