6 problems

Strong-coupling effective mass conjecture. The effective mass satisfies

Let $E_\alpha(P)=\operatorname{inf\, spec}\,H_\alpha^P$ be the fiber ground-state energy at total momentum $P$, and define the effective mass $m$ by … Let $\psi^{\rm Pek}$ minimize…

Let $\mathord{\mathfrak h}_\alpha=-\Delta+V_\varphi(x)+\mathbb{N}$ be the Fröhlich Hamiltonian in strong-coupling units, let $e^{\rm Pek}$ be the Pekar energy, and let…

Let $u$ be the Coulomb-branch parameter in the strong-coupling region, let $Pi_D(u,\hbar)$ denote the dyonic quantum period, and let $s(\Pi_D)$ denote its Borel resummation. Let…

Spohn's conjecture. The strong-coupling behavior of the actual Polaron measures should be closely related to the behavior of the mean-field measures.

Strong-coupling coefficient conjecture. The terms of order $K=1$ vanish, and the coefficient of the term of order $K=3$ is