Radiation conditions and scattering theory for $N$-particle quantum systems

Dimitri R. Yafaev

L. D. Faddeev, S. P. Merkuriev

Jin-Wook Jung, Kyungsun Na, L. E. Reichl

The scattering dynamics of a particle incident on a model system with three bound states in the presence of a localized radiation field is studied using Floquet scattering theory. An analytic expression for the Floquet S matrix is derived for the case of a radiation field containing two frequency components. The radiation field destabilizes and can entangle the bound states forming quasibound states that fundamentally alter the scattering dynamics of an incident particle.

J. V. Corbett

A necessary and sufficient condition for a pair of subspaces to be the in and out scattering subspaces for a simple scattering system is obtained. It involves the existence of certain representations of the Galilean presymmetry group on these subspaces. The physical interpretation is that, in scattering, particles remain as particles even in the presence of the interaction.

Brian J. McParland

L. D. Faddeev