A lower bound on the ground state energy of dilute Bose gas
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منابع مشابه
A Lower Bound on the Ground State Energy of Dilute Bose Gas
Consider an N-Boson system interacting via a two-body repulsive short-range potential V in a three dimensional box Λ of side length L. We take the limit N,L → ∞ while keeping the density ρ = N/L fixed and small. We prove a new lower bound for its ground state energy per particle E(N,Λ) N ≥ 4πaρ[1− O(ρ| log ρ|)], as ρ → 0, where a is the scattering length of V .
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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: Journal of Mathematical Physics
سال: 2010
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.3376639