4 papers
Learning Coulomb Potentials and Beyond with Free Fermions in Continuous Space
Andreas Bluhm, Marius Lemm, Tim Möbus +1
The first-principles formulation of quantum mechanics relevant for quantum chemistry and trapped quantum gases involves particles in the continuous space . We present…
On the thermodynamic limit of interacting fermions in the continuum
Oliver Siebert
We study the dynamics of non-relativistic fermions in interacting through a pair potential. Employing methods developed by Buchholz in the framework of resolvent alge…
On Existence of Ground States in the Spin Boson Model
David Hasler, Benjamin Hinrichs, Oliver Siebert
We show the existence of ground states in the massless spin boson model without any infrared regularization. Our proof is non-perturbative and relies on a compactness argument. It…
Thermal Ionization for Short-Range Potentials
David Hasler, Oliver Siebert
We study a concrete model of a confined particle in form of a Schrödinger operator with a compactly supported smooth potential coupled to a bosonic field at positive temperature. W…