19 citations · 53 across the 9 of their papers we have counts for
9 papers
Lower bounds on the energy of the Bose gas
Søren Fournais, Theotime Girardot, Lukas Junge +2
We present an overview of the approach to establish a lower bound to the ground state energy for the dilute, interacting Bose gas in a periodic box. In this paper the size of the b…
On boundedness of isomerization paths for non- and semirelativistic molecules
Ioannis Anapolitanos, Marco Olivieri, Sylvain Zalczer
This article focuses on isomerizations of molecules, i.e. chemical reactions during which a molecule is transformed into another one with the same atoms in a different spatial conf…
The Casimir-Polder effect for an approximate Pauli-Fierz model: the atom plus wall case
Marco Olivieri
We study a system composed of a hydrogen atom interacting with an infinite conductor wall. The interaction energy decays like , where is the distance between the atom a…
The Ground State Energy of a Two-Dimensional Bose Gas
S. Fournais, T. Girardot, L. Junge +2
We prove the following formula for the ground state energy density of a dilute Bose gas with density in dimensions in the thermodynamic limit \begin{align*} e^{\rm{2D}}(ρ)…
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…
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…
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.…