Some inequalities for mean values in statistical mechanics
Teoretičeskaâ i matematičeskaâ fizika, Tome 28 (1976) no. 1, pp. 127-138

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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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     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},
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     year = {1976},
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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/