5 papers
Derivation of the Maxwell-Schrödinger Equations: A note on the infrared sector of the radiation field
Marco Falconi, Nikolai Leopold
We slightly extend prior results about the derivation of the Maxwell-Schrödinger equations from the bosonic Pauli-Fierz Hamiltonian. More concretely, we show that the findings from…
Derivation of the Landau-Pekar equations in a many-body mean-field limit
Nikolai Leopold, David Mitrouskas, Robert Seiringer
We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic particles weakly couple to the quantized phonon field. For large particle number and suitably small co…
Theory of the Rotating Polaron: Spectrum and Self-Localization
Enderalp Yakaboylu, Bikashkali Midya, Andreas Deuchert +2
We study a quantum impurity possessing both translational and internal rotational degrees of freedom interacting with a bosonic bath. Such a system corresponds to a `rotating polar…
Mean-field Dynamics for the Nelson Model with Fermions
Nikolai Leopold, Sören Petrat
We consider the Nelson model with ultraviolet cutoff, which describes the interaction between non-relativistic particles and a positive or zero mass quantized scalar field. We take…
Mean-field limits of particles in interaction with quantized radiation fields
Nikolai Leopold, Peter Pickl
We report on a simple strategy to treat mean-field limits of quantum mechanical systems in which a large number of particles weakly couple to a second-quantized radiation field. Ex…