Geodesic
Some inequalities for mean values in statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 127-138 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Some new upper bounds are proved for mean values of the form $\langle\operatorname{BB^+}\rangle$ in equilibrium statistical mechanics. As an illustration, a rigorous upper bound is obtained for the mean kinetic energy of a molecule of a quantum system of distinguishable particles and some majorizing estimates are considered in the method of approximating Hamiltonians of N. N. Bogolyubov (Jr.). 
@article{TMF_1976_28_1_a11,
     author = {V. N. Plechko},
     title = {Some inequalities for mean values in statistical mechanics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {127--138},
     year = {1976},
     volume = {28},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a11/}
}
TY  - JOUR
AU  - V. N. Plechko
TI  - Some inequalities for mean values in statistical mechanics
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1976
SP  - 127
EP  - 138
VL  - 28
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a11/
LA  - ru
ID  - TMF_1976_28_1_a11
ER  - 
%0 Journal Article
%A V. N. Plechko
%T Some inequalities for mean values in statistical mechanics
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1976
%P 127-138
%V 28
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a11/
%G ru
%F TMF_1976_28_1_a11
V. N. Plechko. Some inequalities for mean values in statistical mechanics. Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 127-138. http://geodesic.mathdoc.fr/item/TMF_1976_28_1_a11/

[1] N. N. Bogolyubov, Preprint OIYaI D-781, Dubna, 1961; Избранные сочинения, т. 3, «Наукова думка», Киев, 1971 ; Статистическая физика и квантовая теория поля, Сб., «Наука», 1973 | MR | MR | Zbl

[2] N. D. Mermin, H. Wagner, Phys. Rev. Lett., 17 (1966), 1133 | DOI | MR

[3] B. I. Sadovnikov, V. K. Fedyanin, TMF, 16 (1973), 368 | MR

[4] B. I. Sadovnikov, M. Kh. Kharrasov, Preprint ITF-74-111R, Kiev, 1974 | MR

[5] N. N. Bogolubov, Jr., Physica, 32 (1966), 933 ; Укр. матем. журн., 17:3 (1965), 3 | DOI | MR | MR

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

[7] N. N. Bogolubov, Jr., V. N. Plechko, Preprint IC-75-68, Trieste, 1975 ; Physica (to appear) | MR

[8] N. N. Bogolyubov (ml.), V. N. Plechko, N. F. Repnikov, TMF, 24 (1975), 357

[9] A. Brooks Harris, J. Math. Phys., 8 (1967), 1044 | DOI

[10] N. D. Mermin, J. Phys. Soc. of Japan, Suppl., 26 (1969)

[11] N. N. Bogolyubov, S. V. Tyablikov, DAN SSSR, 126 (1959), 53 | Zbl