Analysis of a nontrivial, explicitly solvable multichannel scattering system

We study the scattering theory associated with the one dimensional time dependent quantum Hamiltonian. This system has nontrivial scattering between channels if λ1 and λ2 are both positive. We calculate the Faddeev series for the wave operators of this system explicitly. From this calculation we directly prove asymptotic completeness and study the entire S-matrix. The Faddeev series for the charge transfer matrix elements of the S-matrix exhibit rather surprizing behavior for large values of v1 - v2