We consider the dynamics of a large number N of nonrelativistic bosons in the mean field
limit for a class of interaction potentials that includes Coulomb interaction. In order to …

We study the time-evolution of initially trapped Bose–Einstein condensates in the Gross–
Pitaevskii regime. We show that condensation is preserved by the many-body evolution and …

We consider mixtures of Bose gases of different species. We prove that in the mean field
limit and under suitable conditions on the initial condition, a system composed of two Bose …

We consider a system of N interacting bosons in the mean-field scaling regime and construct
corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm …

We consider a system of N bosons interacting through a singular two-body potential scaling
with N and having the form N 3 β− 1 V (N β x), for an arbitrary parameter β∈(0, 1). We …

In this paper, we introduce a novel method for deriving higher order corrections to the mean-
field description of the dynamics of interacting bosons. More precisely, we consider the …

We present microscopic derivations of the defocusing two-dimensional cubic nonlinear
Schrödinger equation and the Gross–Pitaevskii equation starting from an interacting N …

The success of the Gross–Pitaevskii and Bogoliubov theories in the description of large
systems of interacting bosons led to a substantial effort into rigorously deriving these …

We consider a system of N bosons in the limit N → ∞ N→∞, interacting through singular
potentials. For initial data exhibiting Bose–Einstein condensation, the many-body time …

We consider the spinless Pauli--Fierz Hamiltonian which describes a quantum system of
nonrelativistic identical particles coupled to the quantized electromagnetic field. We study its …