37 citations · 81 across the 20 of their papers we have counts for
21 papers
Existence of Solutions for time-dependent fractional Kohn-Sham Equations
Sébastien Breteaux, Michele Fantechi, Jérémy Faupin
We consider time-dependent Kohn-Sham equations in dimension with a fractional dispersion relation , , and a class of interaction terms including, in p…
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 number of bound states for fractional Schr{ö}dinger operators with critical and super-critical exponent
Sébastien Breteaux, Jérémy Faupin, Viviana Grasselli
We study the number of negative eigenvalues, counting multiplicities, of the fractional Schrödinger operator on , for any …
Light cones for open quantum systems
Sébastien Breteaux, Jérémy Faupin, Marius Lemm +3
We consider Markovian open quantum dynamics (MOQD). We show that, up to small-probability tails, the supports of quantum states evolving under such dynamics propagate with finite s…