8 problems

Consider a fluid phase with total momentum ${\bf Q}$, and let $\Gamma^{\mathrm{c.m.}}(\kappa)$ denote the probability that the total momentum lies in a momentum-space neighborhood…

Consider an interacting quantum system in spatial dimension greater than one and an infinite fluid phase, meaning a gas or liquid. Let $\Gamma^{\mathrm{c.m.}}_{<\infty}$ and…

Consider an interacting quantum system in spatial dimension greater than one, at any temperature and density. Let $\Gamma^{\mathrm{c.m.}}_{<\infty}$ denote the probability that the…

Consider a two-dimensional noninteracting quantum system at inverse temperature $\beta$ and density $\rho$, with total momentum ${\bf P}$ and particle number $N$. Two-dimensional n…

Let ${\bf P}$ denote the total momentum of an infinite quantum system and let $T_{\mathrm{s}}$ be the superfluid transition temperature. Zero-momentum component conjecture. Below…

Let ${\bf P}$ denote the total momentum of an infinite quantum system, and distinguish an infinite solid from a crystal, whose momentum distribution is supported on a reciprocal la…

Let ${\bf P}$ denote the total momentum of an infinite interacting quantum system in a superfluid phase. Zero-momentum superfluid conjecture. Below the superfluid transition temper…

Kinetic-limit conjecture.