62 citations · 335 across the 24 of their papers we have counts for
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Renormalized Bogoliubov Theory for the Nelson Model
Marco Falconi, Jonas Lampart, Nikolai Leopold +1
We consider the time evolution of the renormalized Nelson model, which describes bosons linearly coupled to a quantized scalar field, in the mean-field limit of many particles…
Quasi-Classical Spin-Boson Models
Michele Correggi, Marco Falconi, Marco Merkli
In this short note we study Spin-Boson Models from the Quasi-Classical standpoint. In the Quasi-Classical limit, the field becomes macroscopic while the particles it interacts with…
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…
Semiclassical analysis of quantum asymptotic fields in the Yukawa theory
Zied Ammari, Marco Falconi, Marco Olivieri
In this article, we study the asymptotic fields of the Yukawa particle-field model of quantum physics, in the semiclassical regime , with an interaction subject to an…
Bogoliubov Dynamics and Higher-order Corrections for the Regularized Nelson Model
Marco Falconi, Nikolai Leopold, David Mitrouskas +1
We study the time evolution of the Nelson model in a mean-field limit in which N non-relativistic bosons weakly couple (w.r.t. the particle number) to a positive or zero mass quant…
Ground State Properties in the Quasi-Classical Regime
Michele Correggi, Marco Falconi, Marco Olivieri
We study the ground state energy and ground states of systems coupling non-relativistic quantum particles and force-carrying Bose fields, such as radiation, in the quasi-classical…
The dilute Fermi gas via Bogoliubov theory
Marco Falconi, Emanuela L. Giacomelli, Christian Hainzl +1
We study the ground state properties of interacting Fermi gases in the dilute regime, in three dimensions. We compute the ground state energy of the system, for positive interactio…
Quasi-Classical Dynamics
M. Correggi, M. Falconi, M. Olivieri
We study quantum particles in interaction with a force-carrying field, in the quasi-classical limit. This limit is characterized by the field having a very large number of excitati…
Microscopic Derivation of Time-dependent Point Interactions
R. Carlone, M. Correggi, M. Falconi +1
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…
Magnetic Schrödinger Operators as the Quasi-Classical Limit of Pauli-Fierz-type Models
M. Correggi, M. Falconi, M. Olivieri
We study the quasi-classical limit of the Pauli-Fierz model: the system is composed of finitely many non-relativistic charged particles interacting with a bosonic radiation field.…
Effective Potentials Generated by Field Interaction in the Quasi-Classical Limit
Michele Correggi, Marco Falconi
We study the {\it quasi-classical limit} of a quantum system composed of finitely many non-relativistic particles coupled to a quantized field in Nelson-type models. We prove that,…
Bohr's correspondence principle in quantum field theory and classical renormalization scheme: the Nelson model
Zied Ammari, Marco Falconi
In the mid Sixties Edward Nelson proved the existence of a consistent quantum field theory that describes the Yukawa-like interaction of a non-relativistic nucleon field with a rel…
Scattering theory for Lindblad master equations
Marco Falconi, Jérémy Faupin, Jürg Fröhlich +1
We study scattering theory for a quantum-mechanical system consisting of a particle scattered off a dynamical target that occupies a compact region in position space. After taking…
On the rate of convergence for the mean field approximation of many-body quantum dynamics
Zied Ammari, Marco Falconi, Boris Pawilowski
We consider the time evolution of quantum states by many-body Schrödinger dynamics and study the rate of convergence of their reduced density matrices in the mean field limit. If t…
Mean field limit of bosonic systems in partially factorized states and their linear combinations
Marco Falconi
We study the mean field limit of one-particle reduced density matrices, for a bosonic system in an initial state with a fixed number of particles, only a fraction of which occupies…
Classical limit of the Nelson model with cut off
Marco Falconi
In this paper we analyze the classical limit of the Nelson model with cut off, when both non-relativistic and relativistic particles number goes to infinity. We prove convergence o…