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Local Gaussian dominance: an anharmonic excitation of free bosons. (English. Russian original) Zbl 1070.82003

Theor. Math. Phys. 132, No. 1, 1019-1028 (2002); translation from Teor. Mat. Fiz. 132, No. 1, 150-160 (2002).
Summary: We prove the local Gaussian dominance condition for a Bose system whose Hamiltonian is diagonal with respect to the particle number operators. The proof is based on obtaining an upper bound estimate for the Bogolyubov inner product of the Bose creation and annihilation operators.

MSC:

82B10 Quantum equilibrium statistical mechanics (general)
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