4 problems

Let a frustration-free FBI Hamiltonian be a many-body Hamiltonian whose ground-state energy is attained when each positive-semidefinite local term is minimized, and let its Hartree…

Weak Mittleman's conjecture. The Dirac–Fock model is an approximation of the electron-positron Hartree–Fock model in the precise sense of the displayed inequality. This weaker stat…

Let $e_q$ denote the physical ground state energy of the electron-positron Hartree–Fock model, obtained by maximizing the model's ground state energy over all allowed one-particle…

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…