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Locating Resonances in a Complex Potential Field

Dissertation (MSc)--University of Pretoria, 2016.

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Other Authors: Rakitianski, Sergei A.
Format: Thesis
Language:English
Published: University of Pretoria 2017
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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 © 2017 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:2263/60804
institution University of Pretoria (South Africa)
language English
last_indexed 2026-06-10T12:39:04.068Z
license_str Other — see source repository
provenance_str_mv Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository
publishDate 2017
publishDateRange 2017
publishDateSort 2017
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:2263/60804 Locating Resonances in a Complex Potential Field Rakitianski, Sergei A. bhsjfakira@gmail.com Fakira-Du Toit, Hamida Hamida Sarah Jane UCTD Resonance Jost Function Complex Absorbing Potential Dissertation (MSc)--University of Pretoria, 2016. The main question that has been answered in this research project is: what happens to the singularities of the S-matrix when the interaction potential becomes complex? In other words, we looked at the resonance spectral points and traced their movements on the complex momentum plane, when the imaginary part of the potential is gradually increased from zero to a certain reasonable value. This question is important in many fields of research where optical potentials are used. An optical potential can effectively take into account the loss of the beam of particles into all the reaction channels that are formally ignored. Such a simplified approach is widely used in nuclear and atomic physics. In order to study the movement of the spectral points, we used a simple potential and the Jost function method that allowed us to easily locate the spectral points as complex zeros of the Jost function. Physics MSc Unrestricted 2017-06-05T12:10:15Z 2017-06-05T12:10:15Z 2017-05-10 2016 Dissertation Fakira-Du Toit, HHSJ 2016, Locating Resonances in a Complex Potential Field, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/60804> A2017 http://hdl.handle.net/2263/60804 en © 2017 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 UCTD
Resonance
Jost Function
Complex Absorbing Potential
Locating Resonances in a Complex Potential Field
title Locating Resonances in a Complex Potential Field
title_full Locating Resonances in a Complex Potential Field
title_fullStr Locating Resonances in a Complex Potential Field
title_full_unstemmed Locating Resonances in a Complex Potential Field
title_short Locating Resonances in a Complex Potential Field
title_sort locating resonances in a complex potential field
topic UCTD
Resonance
Jost Function
Complex Absorbing Potential
url http://hdl.handle.net/2263/60804