Scattering and spectral theory for Stark Hamiltonians in one dimension.
Scattering for a dispersive charge transfer model
Scattering on stratified media: the microlocal properties of the scattering matrix and recovering asymptotics of perturbations
The scattering matrix is defined on a perturbed stratified medium. For a class of perturbations, its main part at fixed energy is a Fourier integral operator on the sphere at infinity. Proving this is facilitated by developing a refined limiting absorption principle. The symbol of the scattering matrix determines the asymptotics of a large class of perturbations.
Scattering theory for 3-particle systems in constant magnetic fields : dispersive case
We develop a scattering theory for quantum systems of three charged particles in a constant magnetic field. For such systems, we generalize our earlier results in that we make no additional assumptions on the electric charges of subsystems. The main difficulty is the analysis of the scattering channels corresponding to the motion of the bound states of the neutral subsystems in the directions transversal to the field. The effective kinetic energy of this motion is given by certain dispersive Hamiltonians;...
Scattering theory for plektons in 2 + 1 dimensions
Scattering theory for quantum dynamical semigroups. — II
Scattering theory for time-dependent zero-range potentials
Scattering theory: Some old and new problems.
Schrödinger Operator on the Zigzag Half-Nanotube in Magnetic Field
We consider the zigzag half-nanotubes (tight-binding approximation) in a uniform magnetic field which is described by the magnetic Schrödinger operator with a periodic potential plus a finitely supported perturbation. We describe all eigenvalues and resonances of this operator, and theirs dependence on the magnetic field. The proof is reduced to the analysis of the periodic Jacobi operators on the half-line with finitely supported perturbations.
Schrödinger operators with Highly Singular, Oscillating Potentials.
Semiclassical resolvent estimates
Semiclassical resolvent estimates for two and three-body Schrödinger operators
Semiclassical scattering by the Coulomb potential
Shadow scattering by magnetic fields in two dimensions
Singular spectrum of products of distributions at points
Soliton scattering by delta impurities
Solutions of initial value problems for a pair of linear first order ordinary differential systems with interface-spatial conditions.
Solvable two-body Dirac equation as a potential model of light mesons.
Spectral and scattering theory for symbolic potentials of order zero
Spectral projection, residue of the scattering amplitude and Schrödinger group expansion for barrier-top resonances
We study the spectral projection associated to a barrier-top resonance for the semiclassical Schrödinger operator. First, we prove a resolvent estimate for complex energies close to such a resonance. Using that estimate and an explicit representation of the resonant states, we show that the spectral projection has a semiclassical expansion in integer powers of , and compute its leading term. We use this result to compute the residue of the scattering amplitude at such a resonance. Eventually, we...