Geodesic
Majorizing estimates in the method of approximating (trial) Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 357-367 
N. N. Bogolyubov (Jr.); V. N. Plechko; N. F. Repnikov. Majorizing estimates in the method of approximating (trial) Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 24 (1975) no. 3, pp. 357-367. http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a6/
@article{TMF_1975_24_3_a6,
     author = {N. N. Bogolyubov (Jr.) and V. N. Plechko and N. F. Repnikov},
     title = {Majorizing estimates in the method of approximating (trial) {Hamiltonians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {357--367},
     year = {1975},
     volume = {24},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a6/}
}
TY  - JOUR
AU  - N. N. Bogolyubov (Jr.)
AU  - V. N. Plechko
AU  - N. F. Repnikov
TI  - Majorizing estimates in the method of approximating (trial) Hamiltonians
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1975
SP  - 357
EP  - 367
VL  - 24
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a6/
LA  - ru
ID  - TMF_1975_24_3_a6
ER  - 
%0 Journal Article
%A N. N. Bogolyubov (Jr.)
%A V. N. Plechko
%A N. F. Repnikov
%T Majorizing estimates in the method of approximating (trial) Hamiltonians
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1975
%P 357-367
%V 24
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1975_24_3_a6/
%G ru
%F TMF_1975_24_3_a6

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

Some new inequalities for averages in the equilibrium statistical mechanics are found which are applied then for improving the majoration estimates in the approximating (trial) Hamiltonians method. The results are illustrated on concrete model.

[1] N. N. Bogolyubov (ml.), Vestn. Mosk. un-ta, ser. fiz., astr., 1 (1966), 3

[2] N. N. Bogoliubov (Jr), Physica, 32 (1966), 933 | DOI | MR

[3] N. N. Bogolyubov (ml.), Preprint ITF 67-1, Kiev, 1967

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

[5] I. G. Brankov, A. S. Shumovskii, Soobschenie OIYaI R4-6899, Dubna, 1973 | Zbl

[6] I. G. Brankov, V. A. Zagrebnov, N. S. Tonchev, TMF, 22 (1975), 20 | MR

[7] I. G. Brankov, N. S. Tonchev, Soobschenie OIYaI R4-8150, Dubna, 1974 | Zbl

[8] A. M. Kurbatov, V. N. Plechko, Soobschenie OIYaI P4-8403, Dubna, 1974

[9] N. N. Bogolyubov (ml.), A. G. Shumovskaya, A. S. Shumovskii, TMF, 21 (1974), 258

[10] P. A. J. Tindemans, W. W. Capel, Physica, 72 (1974), 433 | DOI

[11] G. Scharf, Phys. Lett., 38A (1972), 123 | DOI

[12] V. A. Zagrebnov, I. G. Brankov, Soobschenie OIYaI R4-7097, Dubna, 1973