Ground state energy of dense gases of strongly interacting fermions
Ground state energy of dense gases of strongly interacting fermions
We study the ground state energy of a gas of $N$ fermions confined to a unit box in $d$ dimensions. The particles interact through a 2-body potential with strength scaled in an $N$-dependent way as $N^{-\alpha}v$, where $\alpha\in \mathbb R$ and $v$ is a function of positive type satisfying a …