171 citations · 222 across the 11 of their papers we have counts for
11 papers
On Lieb-Robinson bounds for a class of continuum fermions
Benjamin Hinrichs, Marius Lemm, Oliver Siebert
We consider the quantum dynamics of a many-fermion system in with an ultraviolet regularized pair interaction as previously studied in [M. Gebert, B. Nachtergaele, J.…
Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
David Hasler, Benjamin Hinrichs, Oliver Siebert
The Nelson model, describing a quantum mechanical particle linearly coupled to a bosonic field, exhibits the infrared problem in the sense that no ground state exists at arbitrary…
Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
Benjamin Hinrichs, Oliver Matte
We consider the renormalized relativistic Nelson model in two spatial dimensions for a finite number of spinless, relativistic quantum mechanical matter particles in interaction wi…
Super-Gaussian Decay of Exponentials: A Sufficient Condition
Benjamin Hinrichs, Daan Willem Janssen, Jobst Ziebell
In this article, we present a sufficient condition for the exponential to have a tail decay stronger than any Gaussian, where is defined on a locally convex space…
Existence of Ground States in the Infrared-Critial Spin Boson Model
Benjamin Hinrichs
We review recent results on the existence of ground states for the infrared-critical spin boson model, which describes the interaction of a massless bosonic field with a two-state…
FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
David Hasler, Benjamin Hinrichs, Oliver Siebert
We consider the spin boson model with external magnetic field. We prove a path integral formula for the heat kernel, known as Feynman-Kac-Nelson (FKN) formula. We use this path int…