论文标题
Gross-Pitaevskii理论的推导，用于在陷阱中相互作用
Derivation of the Gross-Pitaevskii Theory for Interacting Fermions in a Trap
论文作者
论文摘要
我们在温度下研究稀释的费米的稀释气，$ t = 0 $和\ mathbb {r} $的化学势$ \。颗粒被外部电位捕获，它们通过微观有吸引力的两体电位与两体结合状态相互作用。我们证明了宏观毛皮理论的出现是对BCS能量功能的一阶贡献，这些贡献在消失的微观到麦克罗量表参数方面。
We study a dilute gas of interacting fermions at temperature $T=0$ and chemical potential $μ\in \mathbb{R}$. The particles are trapped by an external potential, and they interact via a microscopic attractive two-body potential with a two-body bound state. We prove the emergence of the macroscopic Gross-Pitaevskii theory as first-order contribution to the BCS energy functional in the regime of vanishing micro-to-macro scale parameter.
