A tauberian theorem in quantum mechanical inverse scattering theory
Absolutely continuous and singular spectral shift functions [Book]
Arrival time observables in quantum mechanics
Basic Representations of Affine Lie Algebras and Dual Resonance Models.
Global well-posedness and scattering for the derivative nonlinear Schrödinger equation with small rough data
Long range scattering and modified wave operators for Hartree equations
We study the theory of scattering for the Hartree equation with long range potentials. We prove the existence of modified wave operators with no size restriction on the data and we determine the asymptotic behaviour in time of solutions in the range of the wave operators.
On a Class of non Linear Schrödinger Equations with non Local Interaction.
On resonances in mathematical scattering theory
On solutions of the Schrödinger equation with radiation conditions at infinity : the long-range case
We consider the homogeneous Schrödinger equation with a long-range potential and show that its solutions satisfying some a priori bound at infinity can asymptotically be expressed as a sum of incoming and outgoing distorted spherical waves. Coefficients of these waves are related by the scattering matrix. This generalizes a similar result obtained earlier in the short-range case.
Propagation estimates for Dirac operators and application to scattering theory
In this paper, we prove propagation estimates for a massive Dirac equation in flat spacetime. This allows us to construct the asymptotic velocity operator and to analyse its spectrum. Eventually, using this new information, we are able to obtain complete scattering results; that is to say we prove the existence and the asymptotic completeness of the Dollard modified wave operators.
Relativity and irreversibility.
Scattering theory for time-dependent zero-range potentials
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Two-channel hamiltonians and the optical model of nuclear scattering
Замечания о спектральной теории для оператора Шредингера многочастичного типа
О данных рассеяния для нестационарного уравнения Дирака
О переменных действие-угол для многокомпонентного нелинейного уравнения Шредингера
О пуассоновой структуре классической XXZ-цепочки
О резонансном рассеянии на отрицательном потенциале
Точное решение XXZ-модели Гейзенберга спина S