A Lower Bound on the Ground State Energy of Dilute Bose Gas
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چکیده
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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تاریخ انتشار 2009