3 problems

Radiative binding-energy conjecture.

Fröhlich's conjecture. The ultraviolet-renormalized Nelson Hamiltonian generates an ergodic semigroup.

Let $H_{\rm N}$ be the Nelson Hamiltonian and let $\varphi_{\rm g}^{\rm N}$ be a ground state of $H_{\rm N}$. Denote by $N$ the boson number operator. Finite boson-number conjectur…