Geodesic
Some inequalities for mean values in statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 127-138 
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/
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     title = {Some inequalities for mean values in statistical mechanics},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.).

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