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The infrared bounds method in the study of boson systems. (English. Russian original) Zbl 0936.82501

Theor. Math. Phys. 108, No. 3, 1187-1194 (1996); translation from Teor. Mat. Fiz. 108, No. 3, 421-430 (1996).
Summary: This is a study of the equilibrium thermodynamics of a lattice boson gas with on-site repulsion and nearest-neighbor site attraction. For this system, the existence of a Bose condensate is proved and an equation for the lower estimate of the critical temperature is obtained. Moreover, the upper and lower bounds for the structure factor are derived. Finally, in the framework of the infrared bounds method, a quantum Huang-Davies-type Bose system is studied.

MSC:

82B10 Quantum equilibrium statistical mechanics (general)
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
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