Speaker
Prof.
Sergei Rakitianski
(University of Pretoria)
Description
For the Jost-matrix that describes the multi-channel scattering, the energy dependence at all the branching points on the Riemann surface is factorized analytically. The remaining single-valued matrix functions of the energy are expanded in the power-series near an arbitrary point in the complex energy plane. A systematic and accurate procedure has been developed for calculating the expansion coefficients. This makes it possible to obtain an analytic expression for the S-matrix near an arbitrary point on the Riemann surface and thus to locate the spectral points (bound and resonant states) as the S-matrix poles.
Primary author
Prof.
Sergei Rakitianski
(University of Pretoria)
Co-author
Prof.
Nils Elander
(Stockholm University)