4 problems

Let $H(\alpha)$ be the Fröhlich polaron Hamiltonian, and let $M(\alpha)$ denote the effective mass of the particle–field system, defined as the inverse of the second derivative at…

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 $\mathcal{H}$ be the Hilbert space of the model, let $G_{\infty}(k,t)$ be the infinite-time normalized characteristic function defined in the preceding framework, and let…