A 3G-Theorem for Jordan Domains in ℝ²
We prove a new 3G-Theorem for the Laplace Green function G on an arbitrary Jordan domain D in ℝ². This theorem extends the recent one proved on a Dini-smooth Jordan domain.
A counterexample to an endpoint bilinear Strichartz inequality.
A generalization of the radiation condition of Sommerfeld for -body Schrödinger operators
A geometrical interpretation of the time evolution of the Schrödinger equation for discrete quantum systems
A model of atomic radiation
A multiplier theorem for Schrödinger operators
A new phase space localization technique with application to the sum of negative eigenvalues of Schrödinger operators
A note on Schrödinger operators with polynomial potentials
A note on weighted estimates for the Schrödinger operator.
A remark on Schrödinger's equation with a short range potential
A Remark to a Paper of Kato and Ikebe.
A second eigenvalue bound for the Dirichlet-Schrödinger equation with a radially symmetric potential.
A Stationary Schrödinger-Poisson System Arising from the Modelling of Electronic Devices.
A tauberian theorem in quantum mechanical inverse scattering theory
A theorem on "localized" self-adjointness of Schrödinger operators with potentials.
A trace formula for resonances and application to semi-classical Schrödinger operators
On décrit une formule de trace [S] pour les résonances, qui est valable en toute dimension et pour les perturbations à longue portée du Laplacien. On établit une nouvelle application à l’éxistence de nombreuses résonances pour des opérateurs de Schrödinger semi-classiques.
A Two-Particle Quantum System with Zero-Range Interaction
We study a two-particle quantum system given by a test particle interacting in three dimensions with a harmonic oscillator through a zero-range potential. We give a rigorous meaning to the Schrödinger operator associated with the system by applying the theory of quadratic forms and defining suitable families of self-adjoint operators. Finally we fully characterize the spectral properties of such operators.
absence de résonance près du réel pour l’opérateur de Schrödinger
On donne dans cet exposé des bornes inférieures universelles, en limite semiclassique, de la hauteur des résonances de forme associées aux opérateurs de Schrödinger à l’extérieur d’obstacles avec des conditions au bord de Dirichlet ou de Neumann et des potentiels analytiquement dilatables et tendant vers à l’infini. Ces bornes inférieures sont exponentiellement petites par rapport à la constante de Planck.
Absence of Positive Eigenvalues in a Class of Multiparticle Quantum Systems.
Absolute continuity of the spectrum of a Schrödinger operator with a potential which is periodic in some directions and decays in others.