Geometric techniques have played an important role in the seventies, for the study of the
spectrum of many-body Schrödinger operators. In this paper we provide a formalism which …

A polaron is an electron interacting with a polar crystal, which is able to form a bound state
by using the distortions of the crystal induced by its own density of charge. In this paper we …

We derive Feynman-Kac formulas for the ultra-violet renormalized Nelson Hamiltonian with
a Kato decomposable external potential and for corresponding fiber Hamiltonians in the …

STABILITY AND ABSENCE OF BINDING FOR MULTI-POLARON SYSTEMS Page 1 STABILITY
AND ABSENCE OF BINDING FOR MULTI-POLARON SYSTEMS by RUPERT L. FRANK …

The binding of polarons, or its absence, is an old and subtle topic. Here we prove two things
rigorously. First, the transition from many-body collapse to the existence of a thermodynamic …

We consider the Fröhlich N-polaron Hamiltonian in the strong coupling limit and bound its
ground state energy from below. In particular, our lower bound confirms that the ground state …

If the polaron coupling constant α is large enough, bipolarons or multi-polarons will form.
When passing through the critical α c from above, does the radius of the system simply get …

The results summarized here are intended as rigorous mathematical statements on various
physical models coming from condensed matter physics, statistical mechanics (classical and …

We summarize our recent results on the ground state energy of multi-polaron systems. In
particular, we discuss stability and existence of the thermodynamic limit, and we discuss the …

Exact asymptotic behavior of the Pekar–Tomasevich functional | Journal of Mathematical
Physics | AIP Publishing Skip to Main Content Umbrella Alt Text Umbrella Alt Text Close …