M Falconi, N Leopold, D Mitrouskas… - Reviews in Mathematical …, 2023 - World Scientific
We study the time evolution of the Nelson model in a mean-field limit in which N nonrelativistic bosons weakly couple (with respect to the particle number) to a positive or …
The purpose of this article is twofold. On one hand, we rigorously derive the Newton-- Maxwell equation in the Coulomb gauge from first principles of quantum electrodynamics in …
We consider a non-relativistic electron bound by an external potential and coupled to the quantized electromagnetic field in the standard model of non-relativistic QED. We compute …
A spin (qubit) is in contact with a bosonic reservoir. The state of the reservoir contains a parameter {\varepsilon} interpolating between quantum and classical reservoir features. We …
We study the dynamics of the three-dimensional polaron---a quantum particle coupled to bosonic fields---in the quasi-classical regime. In this case, the fields are very intense and the …
M Falconi, N Leopold - Journal of Mathematical Physics, 2023 - pubs.aip.org
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 …
We consider the quasi-classical limit of Nelson-type regularized polaron models describing a particle interacting with a quantized bosonic field. We break translation-invariance by …
M Falconi, L Fratini - arXiv preprint arXiv:2407.20603, 2024 - arxiv.org
In this paper we study the semiclassical limit $\hslash\to 0$ of a completely solvable model in quantum field theory: the van Hove model, describing a scalar field created and …