# SAIP2010

27 September 2010 to 1 October 2010
CSIR Convention Centre
Africa/Johannesburg timezone

## Power-series expansion of the multi-channel Jost matrix

Not scheduled
CSIR Convention Centre

#### CSIR Convention Centre

CSIR, Pretoria
Presentation Track G - Theoretical and Computational Physics

### 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)

### Presentation Materials

There are no materials yet.