3-7 July 2017
Africa/Johannesburg timezone

Power series expansion of the Jost function on the complex angular momentum plane.

4 Jul 2017, 11:30
20m
A303A (Engineering Building 51)

A303A

Engineering Building 51

Oral Presentation Track G - Theoretical and Computational Physics Theoretical and Computational Physics 1

Speaker

Mr Tshegofatso Tshipi (University of Pretoria)

Description

The aim of this research is to develop a method for expanding the Jost functions as a Taylor-type power series on the complex angular momentum plane. From this method in conjunction with the Watson transformation, we were able to express the scattering amplitude as a sum of the background and pole terms, furthermore, this method proposes a way of evaluating, numerically, the pole term. To demonstrate how this method may be applied, we considered the Born approximation. We found out that the developed method improved the Born approximation at large scattering angles. Therefore, this method is useful when the differential cross section of the background term fails to converge to that of the exact differential cross section at large scattering angles.

Apply to be<br> considered for a student <br> &nbsp; award (Yes / No)?

Yes

Level for award<br>&nbsp;(Hons, MSc, <br> &nbsp; PhD, N/A)?

MSc

Would you like to <br> submit a short paper <br> for the Conference <br> Proceedings (Yes / No)?

Yes

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

Name : Prof. Sergei Rakitianski
email : Sergei.Rakitianski@up.ac.za
Institution : University of Pretoria

Primary author

Mr Tshegofatso Tshipi (University of Pretoria)

Presentation Materials

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