Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Power series expansion of the Jost function on the complex angular momentum plane
Dissertation (MSc)--University of Pretoria, 2016.
Saved in:
| Other Authors: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
University of Pretoria
2016
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613696705953792 |
|---|---|
| access_status_str | Open Access |
| author2 | Rakitianski, Sergei A. |
| author_browse | Rakitianski, Sergei A. |
| author_facet | Rakitianski, Sergei A. |
| collection | Thesis |
| dc_rights_str_mv | © 2016, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 2016. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/52597 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:40:15.382Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/52597 Power series expansion of the Jost function on the complex angular momentum plane Rakitianski, Sergei A. Tshipi, John Tshegofatso Power series complex angular momentum Jost function Scattering amplitude Regge poles UCTD Dissertation (MSc)--University of Pretoria, 2016. 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 propose 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 di fferential cross section of the background term fails to converge to that of the exact diff erential cross section at large scattering angles. National Research Foundation (NRF) Physics MSc 2016-05-12T06:54:59Z 2016-05-12T06:54:59Z 2016 Dissertation Tshipi, JT 2016, Power series expansion of the Jost function on the complex angular momentum plane, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/52597> S2016 http://hdl.handle.net/2263/52597 en © 2016, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Power series complex angular momentum Jost function Scattering amplitude Regge poles UCTD Power series expansion of the Jost function on the complex angular momentum plane |
| title | Power series expansion of the Jost function on the complex angular momentum plane |
| title_full | Power series expansion of the Jost function on the complex angular momentum plane |
| title_fullStr | Power series expansion of the Jost function on the complex angular momentum plane |
| title_full_unstemmed | Power series expansion of the Jost function on the complex angular momentum plane |
| title_short | Power series expansion of the Jost function on the complex angular momentum plane |
| title_sort | power series expansion of the jost function on the complex angular momentum plane |
| topic | Power series complex angular momentum Jost function Scattering amplitude Regge poles UCTD |
| url | http://hdl.handle.net/2263/52597 |