Exact Results in Quantum Theory

We propose a definition of a scattering subspace for N-body Schrödinger operators with time-periodic short-range pair-potentials. This in given in geometric terms. We claim that all channel wave operators exist, and that their ranges span the scattering subspace. This may possibly serve as an intermediate step for proving the longstanding open problem of asymptotic completeness, which may be reformulated as the assertion that the scattering subspace is the orthogonal subspace of the pure point subspace of the monodromy operator. There will be also broadcast via zoom