Gaussian Domination in a Quantum System of  Nonlinear Oscillators

Corgini, M.; Sankovich, D. P.

doi:10.1142/s0217984999000518

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2002

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Cited by 6 publications

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“…Exactly our purpose is to prove that: (1) explicit upper bounds on the thermal averages n j can be derived, improving our previous results. 1 (2) The studied model system exhibits BEC at a finite inverse temperature for chemical potential µ = 0. The possible way for the rigorous study of BEC is to estimate the condensed fraction by investigating the asymptotic behavior of the fractional occupation of the low-lying levels when the thermodynamic limit is fulfiled.…”

Section: Introductionmentioning

confidence: 99%

Study of a Non-Interacting Boson Gas

Corgini

Sankovich

2002

Int. J. Mod. Phys. B

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For a non-interacting many particle Bose system whose energy operator is diagonal in the number of occupation operatorsn j upper bounds on the thermal averages n j are obtained. These bounds lead to the proof of Bose-Einstein condensation for finite values of the inverse temperature β and for chemical potential µ = 0. Finally for µ < 0, in the case of a generalization of the studied model system, the property of Local Gaussian Domination for the grand canonical partition function is proved.

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Section: Introductionmentioning

confidence: 99%