Supersymmetry Transformations for Delta Potentials
We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard f...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2011 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2011
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/146801 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Supersymmetry Transformations for Delta Potentials / David J. Fernández C., M. Gadella, L.M. Nieto // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 66 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862685846034972672 |
|---|---|
| author | David J. Fernández C. Gadella, M. Nieto, L.M. |
| author_facet | David J. Fernández C. Gadella, M. Nieto, L.M. |
| citation_txt | Supersymmetry Transformations for Delta Potentials / David J. Fernández C., M. Gadella, L.M. Nieto // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 66 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics.
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| first_indexed | 2025-12-07T16:01:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146801 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T16:01:56Z |
| publishDate | 2011 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | David J. Fernández C. Gadella, M. Nieto, L.M. 2019-02-11T15:26:18Z 2019-02-11T15:26:18Z 2011 Supersymmetry Transformations for Delta Potentials / David J. Fernández C., M. Gadella, L.M. Nieto // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 66 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 81Q60 DOI:10.3842/SIGMA.2011.029 https://nasplib.isofts.kiev.ua/handle/123456789/146801 We make a detailed study of the first and second-order SUSY partners of a one-dimensional free Hamiltonian with a singular perturbation proportional to a Dirac delta function. It is shown that the second-order transformations increase the spectral manipulation possibilities offered by the standard first-order supersymmetric quantum mechanics. This paper is a contribution to the Proceedings of the Workshop “Supersymmetric Quantum Mechanics and Spectral Design” (July 18–30, 2010, Benasque, Spain). The full collection is available at http://www.emis.de/journals/SIGMA/SUSYQM2010.html.
 Partial financial support is acknowledged to the Spanish Junta de Castilla y Le´on (Project
 GR224) and the Ministry of Science and Innovation (Projects MTM2009-10751 and FPA2008-04772-E). DJFC acknowledges the support of Conacyt. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Supersymmetry Transformations for Delta Potentials Article published earlier |
| spellingShingle | Supersymmetry Transformations for Delta Potentials David J. Fernández C. Gadella, M. Nieto, L.M. |
| title | Supersymmetry Transformations for Delta Potentials |
| title_full | Supersymmetry Transformations for Delta Potentials |
| title_fullStr | Supersymmetry Transformations for Delta Potentials |
| title_full_unstemmed | Supersymmetry Transformations for Delta Potentials |
| title_short | Supersymmetry Transformations for Delta Potentials |
| title_sort | supersymmetry transformations for delta potentials |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146801 |
| work_keys_str_mv | AT davidjfernandezc supersymmetrytransformationsfordeltapotentials AT gadellam supersymmetrytransformationsfordeltapotentials AT nietolm supersymmetrytransformationsfordeltapotentials |