284 citations · 557 across the 15 of their papers we have counts for
4 papers · 1 filter
Binding energy for hydrogen-like atoms in the Nelson model without cutoffs
Christian Hainzl, Masao Hirokawa, Herbert Spohn
In the Nelson model particles interact through a scalar massless field. For hydrogen-like atoms there is a nucleus of infinite mass and charge , , fixed at the origin an…
A central limit theorem for Gibbs measures relative to Brownian motion
Volker Betz, Herbert Spohn
We study a Gibbs measure over Brownian motion with a pair potential which depends only on the increments. Assuming a particular form of this pair potential, we establish that in th…
Constrained Brownian motion: Fluctuations away from circular and parabolic barriers
Patrik L. Ferrari, Herbert Spohn
Motivated by the polynuclear growth model, we consider a Brownian bridge b(t) with b(\pm T)=0 conditioned to stay above the semicircle c_T(t)=\sqrtT^2-t^2. In the limit of large T,…
Step fluctuations for a faceted crystal
Patrik L. Ferrari, Herbert Spohn
A statistical mechanics model for a faceted crystal is the 3D Ising model at zero temperature. It is assumed that in one octant all sites are occupied by atoms, the remaining ones…