The Eikonal approximation and the asymptotics of the total scattering cross-section for the Schrödinger equation
The Existence of Wave Operators in Scattering Theory.
The inverse -body problem. A geometrical approach
The Leading Singularity of Scattering Kernel for a Transparent Obstacle.
The light in the neighborhood of a caustic
The Lippman-Schwinger equation treated as a characteristic Cauchy problem
The low energy expansion in nonrelativistic scattering theory
The Mourre estimate for regular dispersive systems
The radiation field is a Fourier integral operator
We show that the ``radiation field'' introduced by F.G. Friedlander, mapping Cauchy data for the wave equation to the rescaled asymptotic behavior of the wave, is a Fourier integral operator on any non-trapping asymptotically hyperbolic or asymptotically conic manifold. The underlying canonical relation is associated to a ``sojourn time'' or ``Busemann function'' for geodesics. As a consequence we obtain some information about the high frequency behavior of the scattering...
The resolvent for Laplace-type operators on asymptotically conic spaces
Let be a compact manifold with boundary, and a scattering metric on , which may be either of short range or “gravitational” long range type. Thus, gives the geometric structure of a complete manifold with an asymptotically conic end. Let be an operator of the form , where is the Laplacian with respect to and is a self-adjoint first order scattering differential operator with coefficients vanishing at and satisfying a “gravitational” condition. We define a symbol calculus for...
The Scattering of Classical Waves from Inhomogeneous media.
The semiclassical limit of quantum dynamics. II : scattering theory
Théorie de la diffusion pour des équations semi linéaires
Théorie de la diffusion pour l'équation de Schrödinger
Théorie de la diffusion quantique pour des perturbations à longue et courte portée du champ magnétique
Théorie spectrale de certains opérateurs de Schrödinger avec potentiel coulombien
Time Decay for Nonlinear Wave Equations in Two Space Dimensions.
Time-decay of scattering solutions and classical trajectories
Time-delay operators in semiclassical limit, finite range potentials
Time-dependent approach to radiation conditions