35 citations · 73 across the 9 of their papers we have counts for
9 papers
Properties of periodic Dirac--Fock functional and minimizers
Isabelle Catto, Long Meng
Existence of minimizers for the Dirac--Fock model in crystals was recently proved by Paturel and Séré and the authors \cite{crystals} by a retraction technique due to Séré \cite{Se…
Existence of minimizers for the Dirac-Fock model of crystals
Isabelle Catto, Long Meng, Eric Paturel +1
Whereas many different models exist in the mathematical and physics literature for ground states of non-relativistic crystals, the relativistic case has been much less studied and…
Existence of steady states for the Maxwell-Schrödinger-Poisson system: exploring the applicability of the concentration-compactness principle
Isabelle Catto, Jean Dolbeault, Óscar Sánchez +1
This paper is intended to review recent results and open problems concerning the existence of steady states to the Maxwell-Schrödinger system. A combination of tools, proofs and re…
Setting and analysis of the multi-configuration time-dependent Hartree-Fock equations
C. Bardos, I. Catto, N. Mauser +1
In this paper we motivate, formulate and analyze the Multi-Configuration Time-Dependent Hartree-Fock (MCTDHF) equations for molecular systems under Coulomb interaction. They consis…
Well-posedness of a multiscale model for concentrated suspensions
Eric Cancès, Isabelle Catto, Yousra Gati +1
In a previous work [math.AP/0305408] three of us have studied a nonlinear parabolic equation arising in the mesoscopic modelling of concentrated suspensions of particles that are s…
Enhanced binding revisited for a spinless particle in non-relativistic QED
Isabelle Catto, Pavel Exner, Christian Hainzl
We consider a spinless particle coupled to a quantized Bose field and show that such a system has a ground state for two classes of short-range potentials which are alone too weak…