Quadratsummen und gewisse Randwerprobleme der mathematischen Physik.
Quantum diffusion and generalized Rényi dimensions of spectral measures
We estimate the spreading of the solution of the Schrödinger equation asymptotically in time, in term of the fractal properties of the associated spectral measures. For this, we exhibit a lower bound for the moments of order at time for the state defined by . We show that this lower bound can be expressed in term of the generalized Rényi dimension of the spectral measure associated to the hamiltonian and the state . We especially concentrate on continuous models.
Quasi-classical asymptotics of local Riesz means for the Schrödinger operator in a moderate magnetic field
Quelques propriétés de l’opérateur de Schrödinger
Quelques résultats récents en scattering