9-13 July 2012
On the analytic properties of the Jost function
Presented by Mr. Yannick MVONDO-SHE on 10 Jul 2012 from 11:00 to 11:20
Type: Oral Presentation
Track: Track G - Theoretical and Computational Physics
Recently, was developed a new theory of the Jost function, within which it was split in two terms involving single-valued analytic functions of the energy, and factors responsible for the existence of the branching points. For the single-valued parts of the Jost function, a procedure for the power-series expansion around an arbitrary point on the energy plane was suggested. However, this theory lacks a rigorous proof that these parts are entire functions of the energy. It also gives an intuitive (not rigorous) derivation of the domain where they are entire. In the present study, we fill in this gap by using the Poincaré's theorem of the theory of differential equations.
Prof. Pavel Selyshchev University of Pretoria