3 research outputs found
Asymptotic completeness in dissipative scattering theory
We consider an abstract pseudo-Hamiltonian for the nuclear optical model,
given by a dissipative operator of the form , where is self-adjoint and is a bounded operator. We study the wave
operators associated to and . We prove that they are asymptotically
complete if and only if does not have spectral singularities on the real
axis. For Schr\"odinger operators, the spectral singularities correspond to
real resonances.Comment: 48 page