37 citations · 81 across the 20 of their papers we have counts for
12 papers · 1 filter
Propagation Estimates for the Boson Star Equation
Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli
We consider the boson star equation with a general two-body interaction potential and initial data in a Sobolev space. Under general assumptions on , namely that d…
Exponential Decay outside of the Light Cone for the Pseudo-Relativistic Non-Autonomous Schrödinger Equation
Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli
We establish a maximal velocity bound for a pseudo-relativistic quantum particle in an external time-dependent potential. Our estimate shows that the probability for the particle,…
Quantum Point Charges Interacting with Quasi-classical Electromagnetic Fields
S. Breteaux, M. Correggi, M. Falconi +1
We study effective models describing systems of quantum particles interacting with quantized (electromagnetic) fields in the quasi-classical regime, i.e., when the field's state sh…
On the Hartree-Fock-Bogoliubov equations
Volker Bach, Sébastien Breteaux, Thomas Chen +2
We review some results of our paper arXiv:1602.05171v2 on the "nonlinear quasifree approximation" to the many-body Schrödinger dynamics of Bose gases. In that paper, we derive, wit…
Quantum mean field asymptotics and multiscale analysis
Zied Ammari, Sébastien Breteaux, Francis Nier
We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of me…
The time-dependent Hartree-Fock-Bogoliubov equations for Bosons
Volker Bach, Sébastien Breteaux, Thomas Chen +2
In this article, we use quasifree reduction to derive the time-dependent Hartree-Fock-Bogoliubov (HFB) equations describing the dynamics of quantum fluctuations around a Bose-Einst…