Geodesic
On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 246-257 
N. N. Bogolyubov (Jr.); D. Ya. Petrina. On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 37 (1978) no. 2, pp. 246-257. http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a8/
@article{TMF_1978_37_2_a8,
     author = {N. N. Bogolyubov (Jr.) and D. Ya. Petrina},
     title = {On~a~class of model systems that admit a~lowering of powers in the {Hamiltonian} in the thermodynamic {limit.~II}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {246--257},
     year = {1978},
     volume = {37},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a8/}
}
TY  - JOUR
AU  - N. N. Bogolyubov (Jr.)
AU  - D. Ya. Petrina
TI  - On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1978
SP  - 246
EP  - 257
VL  - 37
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a8/
LA  - ru
ID  - TMF_1978_37_2_a8
ER  - 
%0 Journal Article
%A N. N. Bogolyubov (Jr.)
%A D. Ya. Petrina
%T On a class of model systems that admit a lowering of powers in the Hamiltonian in the thermodynamic limit. II
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1978
%P 246-257
%V 37
%N 2
%U http://geodesic.mathdoc.fr/item/TMF_1978_37_2_a8/
%G ru
%F TMF_1978_37_2_a8

Voir la notice de l'article provenant de la source Math-Net.Ru

A class of model systems is considered in which particles interact only if they have definite momenta $p_i$ and not all the $p_i$ allowed by the conservation laws. It is shown that the equilibrium correlation functions and the reduced density matrices of the model systems and systems with approximating Hamiltonian are equal in the thermodynamic limit.

[1] N. N. Bogolyubov (ml.), D. Ya. Petrina, TMF, 33 (1977), 231

[2] J. Ginibre, J. Math. Phys., 6 (1965), 238 | DOI | MR | Zbl

[3] N. N. Bogolyubov, D. Ya. Petrina, B. I. Khatset, TMF, 1 (1969), 251

[4] D. Ryuel, Statisticheskaya mekhanika, «Mir», 1971

[5] N. N. Bogolyubov (ml.), Ukr. matem. zh., 17 (1965), 3

[6] N. N. Bogolyubov (ml.), TMF, 5 (1970), 136

[7] N. N. Bogolyubov (ml.), Metod issledovaniya modelnykh gamiltonianov, «Nauka», 1974 | MR

[8] N. N. Bogolyubov, Preprint OIYaI-511, Dubna, 1960