4 problems

Uniformity conjecture. The asymptotics above should be uniform in $\mu$, even when $\mu/k_{\rm F}$ tends to infinity. This would extend the high-density ground-state energy formula…

Consider the Kac–Luttinger model of a non-interacting Bose gas in three dimensions, with impurities given by randomly distributed hard balls. A state is macroscopically occupied wh…

NRT3's conjecture. The subleading term in the asymptotic expansion of $E_N$ is proportional to $\sqrt{N}$.

Atomic many-body Hamiltonians are operators describing systems of several interacting electrons in the field of a nucleus with a specified charge. A spectral transition is an abrup…