Inequalities for the transformation operators and applications.
Local decay estimates for Schrödinger operators with long range potentials
Long range scattering with Stark effect and almost periodic potentials.
Multiple commutator estimates and resolvent smoothness in quantum scattering theory
New representations of the Poincaré group describing two interacting bosons
Non-unitary scattering and capture. II. Quantum dynamical semigroup theory
On the quasi-classical asymptotics of the forward scattering amplitude and of the total scattering cross-section
On the structure of the wave operators in one dimensional potential scattering.
Opérateurs de temps-retard dans la théorie de la diffusion
Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
Prolongement méromorphe de la matrice de scattering pour des problèmes à deux corps à longue portée
Propagation estimates for Dirac operators and application to scattering theory
In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.
Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field
For fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger operator with a constant magnetic field and an axisymmetrical electric potential V. In various, mostly singular settings, asymptotic expansions for the resolvent of the Hamiltonian H m+Hom+V are deduced as the spectral parameter tends to the lowest Landau threshold. Furthermore, scattering theory for the pair (H m, H om) is established and asymptotic expansions...
Schrödinger operators with Highly Singular, Oscillating Potentials.
Semiclassical scattering by the Coulomb potential
Soliton scattering by delta impurities
Spectral properties of the spin-boson hamiltonian
Strichartz inequality for orthonormal functions
We prove a Strichartz inequality for a system of orthonormal functions, with an optimal behavior of the constant in the limit of a large number of functions. The estimate generalizes the usual Strichartz inequality, in the same fashion as the Lieb-Thirring inequality generalizes the Sobolev inequality. As an application, we consider the Schrödinger equation in a time-dependent potential and we show the existence of the wave operator in Schatten spaces.
Sur l'approximation de Born-Oppenheimer des opérateurs d'onde
The 2D Schrödinger equation for a neutral pair in a constant magnetic field