Shadow scattering by magnetic fields in two dimensions
Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials.
Some Remarks on Transmutation, Scattering Theory, and Special Functions.
Spectral Analysis of the Laplacian in Domains with Cylinders.
Spectral and scattering theory for the Schrödinger operator with strongly oscillating potentials
Spectral asymptotics for manifolds with cylindrical ends
The spectrum of the Laplacian on manifolds with cylindrical ends consists of continuous spectrum of locally finite multiplicity and embedded eigenvalues. We prove a Weyl-type asymptotic formula for the sum of the number of embedded eigenvalues and the scattering phase. In particular, we obtain the optimal upper bound on the number of embedded eigenvalues less than or equal to , where is the dimension of the manifold.
Spectral properties of Schrödinger operators and scattering theory
Spectral properties of vaguely elliptic pseudo differential operators with momentum dependent long range potentials using time dependent scattering theory - II.
Spectre de l'équation de Schrödinger, application à la stabilité de la matière
Sur les travaux de Birman-Entina concernant les perturbations des opérateurs auto-adjoints par des opérateurs de classe trace
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 invariance principle.
The Krein string and characteristic functions of non-self-adjoint operators.
The Lax-Phillips infinitesimal generator and the scattering matrix for automorphic functions
We study the infinitesimal generator of the Lax-Phillips semigroup of the automorphic scattering system defined on the Poincaré upper half-plane for SL₂(ℤ). We show that its spectrum consists only of the poles of the resolvent of the generator, and coincides with the poles of the scattering matrix, counted with multiplicities. Using this we construct an operator whose eigenvalues, counted with algebraic multiplicities (i.e. dimensions of generalized eigenspaces), are precisely the non-trivial zeros...
The low energy expansion in nonrelativistic scattering theory
The pertubatively stable spectrum of a periodic Schrödinger operator.
Théorie de la diffusion pour le modèle en théorie des champs
Théorie de la diffusion pour l'équation de Schrödinger
Théorie de la diffusion pour un atome couplé à un champ quantique