Free Energy of a Dilute Bose Gas: Lower Bound
نویسندگان
چکیده
منابع مشابه
Free Energy of a Dilute Bose Gas: Lower Bound
A lower bound is derived on the free energy (per unit volume) of a homogeneous Bose gas at density ̺ and temperature T . In the dilute regime, i.e., when a̺ ≪ 1, where a denotes the scattering length of the pair-interaction potential, our bound differs to leading order from the expression for non-interacting particles by the term 4πa(2̺−[̺−̺c]+). Here, ̺c(T ) denotes the critical density for Bose-Ein...
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According to a formula that was put forward many decades ago the ground state energy per particle of an interacting, dilute Bose gas at density ρ is 2π~2ρa/m to leading order in ρa3 ≪ 1, where a is the scattering length of the interaction potential and m the particle mass. This result, which is important for the theoretical description of current experiments on Bose-Einstein condensation, has r...
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According to a formula that was put forward many decades ago the ground state energy per particle of an interacting, dilute Bose gas at density ρ is 2π~2ρa/m to leading order in ρa3 ¿ 1, where a is the scattering length of the interaction potential and m the particle mass. This result, which is important for the theoretical description of current experiments on Bose-Einstein condensation, has r...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2008
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-008-0428-2