Jussi Behrndt, Hagen Neidhardt, Joachim Rehberg
Block operator matrices, optical potentials, trace class perturbations and scattering
(292K, Postscript)
ABSTRACT. For an operator-valued block-matrix model, which is called in quantum physics a Feshbach decomposition, a scattering theory is considered. Under
trace class perturbation the channel scattering matrices are
calculated. Using Feshbach's optical potential it is shown that for a given spectral parameter the channel scattering matrices can be recovered either from a dissipative or from a Lax-Phillips scattering theory.