2 problems

Let $\mathcal V_{N,\partial}^{(0)}$ and $\mathcal V_{N+1,\partial}^{(0)}$ be the boundary spaces of potentials for the $N$- and $(N+1)$-particle ground-state energies, and let the…

Let $N\geq 1$, let $w\geq 0$ be an interaction, and let $\mathcal V_{N,\partial}^{(0)}$ denote the set of potentials for which the $N$-particle ground-state energy is attained at t…