10 papers
The Dirac-Klein-Gordon system in the strong coupling limit
Jonas Lampart, Loïc Le Treust, Simona Rota Nodari +1
We study the Dirac equation coupled to scalar and vector Klein-Gordon fields in the limit of strong coupling and large masses of the fields. We prove convergence of the solutions t…
The Nelson Model on Static Spacetimes
Janik Kruse, Jonas Lampart
The Nelson model describes the interaction of nonrelativistic quantum particles with a relativistic quantum field of scalar bosons. Nelson rigorously demonstrated in 1964 the exist…
Dynamics of a tracer particle interacting with excitations of a Bose-Einstein condensate
Jonas Lampart, Peter Pickl
We consider the quantum dynamics of a large number of interacting bosons coupled a tracer particle, i.e. a particle of another kind, on a torus. We assume that in the initial s…
The resolvent of the Nelson Hamiltonian improves positivity
Jonas Lampart
We prove that the resolvent of the renormalised Nelson Hamiltonian at fixed total momentum P improves positivity in the (momentum) Fock-representation, for every P. Our argument is…
The Renormalised Bogoliubov-Fröhlich Hamiltonian
Jonas Lampart
The Bogoliubov-Fröhlich Hamiltonian models the interaction of an impurity with the excitations of a Bose-Einstein condensate. It has been observed that the dependence of the ground…
A remark on the attainable set of the Schrödinger equation
Jonas Lampart
We discuss the set of wavefunctions that can be obtained from a given initial condition by applying the flow of the Schrödinger operator and varying the…