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
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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.
@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
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/
[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