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