Bound states and propagating states for time-dependent hamiltonians
Bound states and scattering states for time periodic hamiltonians
Charged particles with short range interactions
Classical and quantum scattering for Stark hamiltonians with slowly decaying potentials
Classical wave operators and asymptotic quantum field operators on curved space-times
Complétude asymptotique des systèmes à corps à courte portée
Complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats
En utilisant une méthode dépendante du temps, nous démontrons la complétude asymptotique pour l'équation des ondes dans une classe d'espaces-temps stationnaires et asymptotiquement plats. On introduit l'observable de vitesse asymptotique et on décrit son spectre (sous des hypothèses plus faibles que pour la complétude asymptotique). Les méthodes utilisées sont inspirées par celles de l'analyse du problème à deux corps en mécanique quantique.
Complex absorbing potential method for systems [Book]
Complex transformation method and resonances in one-body quantum systems
Comportement asymptotique de la phase de diffusion pour des obstacles non-convexes
Comportement semi-classique des systèmes ergodiques
Configuration space properties of the scattering operator and time delay for potentials decaying like
Configuration space properties of the S-matrix and time delay in potential scattering
Corrigendum to: Asymptotic expansion in time of the Schrödinger group on conical manifolds
We correct an error in the normalizing constant of resonant states.
Curvature-induced resonances in a two-dimensional Dirichlet tube
Diffraction par un convexe.
Distribution near the real axis of scattering poles generated by a non-hyperbolic periodic ray
Does Atkinson-Wilcox Expansion Converges for any Convex Domain?
2000 Mathematics Subject Classification: 35C10, 35C20, 35P25, 47A40, 58D30, 81U40.The Atkinson-Wilcox theorem claims that any scattered field in the exterior of a sphere can be expanded into a uniformly and absolutely convergent series in inverse powers of the radial variable and that once the leading coefficient of the expansion is known the full series can be recovered uniquely through a recurrence relation. The leading coefficient of the series is known as the scattering amplitude or the far...
Dynamical Resonances and SSF Singularities for a Magnetic Schrödinger Operator
We consider the Hamiltonian H of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator H has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb H by appropriate scalar potentials V and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable along the magnetic...
Équations de Schrödinger avec potentiels singuliers et à longue portée dans l'approximation de liaison forte