Scattering theory for quantum dynamical semigroups. — II
Scattering theory: Some old and new problems.
Singular spectrum of products of distributions at points
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...
Sur l'existence des opérateurs d'onde dans la théorie algébrique de la diffusion