3 problems

Long-range extension conjecture. All the results of Theorems corresponding to uniqueness of critical points and uniqueness of paramagnetic minimisers are valid throughout a region…

Let $w$ be a positive radial non-increasing function. For density $\rho\geq 0$ and temperature $T\geq 0$, let $E_{\textnormal{no-spin}}^{\rm HF}(\rho,T)$ denote the no-spin Hartree…

Let $L$ be the side length of a box, and let $\gamma_{r_s,T,L}$ denote the paramagnetic Hartree–Fock fluid state of density $\rho$ at temperature $T>0$. Uniqueness conjecture. The…