论文标题
弱相互作用的费米气体的相关能量
Correlation Energy of a Weakly Interacting Fermi Gas
论文作者
论文摘要
我们严格地在高密度和弱相互作用的缩放状态下，在法米气体的相关能量的领先顺序中得出。结果验证了随机相近似的预测。我们的证明完善了在三个维度上的集体效应方法。我们将有效的汉密尔顿人近对角度化，描述了围绕哈特里 - 福克州周围的玻璃纤维集体激发，同时表明无间隙和非散发激发仅对基态能量具有可忽略的影响。
We derive rigorously the leading order of the correlation energy of a Fermi gas in a scaling regime of high density and weak interaction. The result verifies the prediction of the random-phase approximation. Our proof refines the method of collective bosonization in three dimensions. We approximately diagonalize an effective Hamiltonian describing approximately bosonic collective excitations around the Hartree-Fock state, while showing that gapless and non-collective excitations have only a negligible effect on the ground state energy.
