Exponential decay law and irreversibility of decay and collision processes
Extensions, dilations and functional models of infinite Jacobi matrix
A space of boundary values is constructed for the minimal symmetric operator generated by an infinite Jacobi matrix in the limit-circle case. A description of all maximal dissipative, accretive and selfadjoint extensions of such a symmetric operator is given in terms of boundary conditions at infinity. We construct a selfadjoint dilation of maximal dissipative operator and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of dilation....
Generalized eigenfunctions of relativistic Schrödinger operators. I.
Generalized eigenfunctions of relativistic Schrödinger operators in two dimensions.
Hilbert space approach to the quantum mechanical three-body problem
Intertwining methods in the problem of inverse scattering
Invarianz des wesentlichen Spektrums bei Schrödingeroperatoren.
Inverse scattering problem for the Maxwell equations outside moving body
La matrice de Scattering pour l'opérateur de Schrödinger sur la droite réelle
Long range scattering with Stark effect and almost periodic potentials.
Long-range scattering of two- and three-body quantum systems
L'opérateur de temps-retard dans la théorie de la diffusion
Majoration du nombre de résonances près de l'axe réel (d'après un travail avec M. Zworski)
Multiple commutator estimates and resolvent smoothness in quantum scattering theory
N-Body quantum systems with singular potentials
Non-unitary scattering and capture. II. Quantum dynamical semigroup theory
On a property of weak resolvents and its application to a spectral problem
We show that the poles of a resolvent coincide with the poles of its weak resolvent up to their orders, for operators on Hilbert space which have some cyclic properties. Using this, we show that a theorem similar to the Mlak theorem holds under milder conditions, if a given operator and its adjoint have cyclic vectors.
On eigenfunction expansions and scattering theory.
On L...-decay and scattering for nonlinear Klein-Gordon equations.
On nets of local algebras on , covariant with respect to the discrete Poincaré group ; causality and scattering theory