9-13 July 2012
Africa/Johannesburg timezone
<a href="http://events.saip.org.za/internalPage.py?pageId=11&confId=14"><font color=#ff0000>SAIP2012 PROCEEDINGS AVAILABLE</font></a>

On the analytic properties of the Jost function

10 Jul 2012, 11:00
Oral Presentation Track G - Theoretical and Computational Physics Theoretical


Mr Yannick Mvondo-She (University of Pretoria)

Abstract content <br> &nbsp; (Max 300 words)

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.

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Main supervisor (name and email)<br>and his / her institution

Prof. Pavel Selyshchev
University of Pretoria

Primary author

Mr Yannick Mvondo-She (University of Pretoria)


Prof. Pavel Selyshchev (University of Pretoria) Prof. Sergei Rakitianski (University of Pretoria)

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