7 papers · 1 filter
Ultraviolet Renormalization of Spin Boson Models I. Normal and 2-Nilpotent Interactions
Benjamin Hinrichs, Jonas Lampart, Javier Valentín Martín
We study the ultraviolet problem for models of a finite-dimensional quantum mechanical system linearly coupled to a bosonic quantum field, such as the (many-)spin boson model or it…
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…
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…
A nonrelativistic quantum field theory with point interactions in three dimensions
Jonas Lampart
We construct a Hamiltonian for a quantum-mechanical model of nonrelativistic particles in three dimensions interacting via the creation and annihilation of a second type of nonrela…
On Nelson-type Hamiltonians and abstract boundary conditions
Jonas Lampart, Julian Schmidt
We construct Hamiltonians for systems of nonrelativistic particles linearly coupled to massive scalar bosons using abstract boundary conditions. The construction yields an explicit…