Solving close-coupling equations in momentum space without singularities
Solving the close-coupling equations for electron–atom scattering in momentum space involves the solution of coupled integral equations, which contain principal value singularities. These can be accurately treated numerically using an on-shell subtraction technique. Here we show how the singularitie...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
Elsevier
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/33641 |
| _version_ | 1848754003681214464 |
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| author | Bray, A. Abdurakhmanov, Ilkhom Kadyrov, Alisher Fursa, Dmitry Bray, Igor |
| author_facet | Bray, A. Abdurakhmanov, Ilkhom Kadyrov, Alisher Fursa, Dmitry Bray, Igor |
| author_sort | Bray, A. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | Solving the close-coupling equations for electron–atom scattering in momentum space involves the solution of coupled integral equations, which contain principal value singularities. These can be accurately treated numerically using an on-shell subtraction technique. Here we show how the singularities may be taken into account analytically, leading to an alternative approach to the solution of the integral equations. The robustness of the method is demonstrated by considering the S-wave model of e-H scattering across eight orders of magnitude of incident energies. |
| first_indexed | 2025-11-14T08:33:30Z |
| format | Journal Article |
| id | curtin-20.500.11937-33641 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T08:33:30Z |
| publishDate | 2015 |
| publisher | Elsevier |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-336412017-09-13T15:32:02Z Solving close-coupling equations in momentum space without singularities Bray, A. Abdurakhmanov, Ilkhom Kadyrov, Alisher Fursa, Dmitry Bray, Igor Solving the close-coupling equations for electron–atom scattering in momentum space involves the solution of coupled integral equations, which contain principal value singularities. These can be accurately treated numerically using an on-shell subtraction technique. Here we show how the singularities may be taken into account analytically, leading to an alternative approach to the solution of the integral equations. The robustness of the method is demonstrated by considering the S-wave model of e-H scattering across eight orders of magnitude of incident energies. 2015 Journal Article http://hdl.handle.net/20.500.11937/33641 10.1016/j.cpc.2015.06.015 Elsevier restricted |
| spellingShingle | Bray, A. Abdurakhmanov, Ilkhom Kadyrov, Alisher Fursa, Dmitry Bray, Igor Solving close-coupling equations in momentum space without singularities |
| title | Solving close-coupling equations in momentum space without singularities |
| title_full | Solving close-coupling equations in momentum space without singularities |
| title_fullStr | Solving close-coupling equations in momentum space without singularities |
| title_full_unstemmed | Solving close-coupling equations in momentum space without singularities |
| title_short | Solving close-coupling equations in momentum space without singularities |
| title_sort | solving close-coupling equations in momentum space without singularities |
| url | http://hdl.handle.net/20.500.11937/33641 |