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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2011 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2011
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Supersymmetry Transformations for Delta Potentials |
| spellingShingle |
Supersymmetry Transformations for Delta Potentials David J. Fernández C. Gadella, M. Nieto, L.M. |
| title_short |
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_sort |
supersymmetry transformations for delta potentials |
| author |
David J. Fernández C. Gadella, M. Nieto, L.M. |
| author_facet |
David J. Fernández C. Gadella, M. Nieto, L.M. |
| publishDate |
2011 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| 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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146801 |
| 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. |
| work_keys_str_mv |
AT davidjfernandezc supersymmetrytransformationsfordeltapotentials AT gadellam supersymmetrytransformationsfordeltapotentials AT nietolm supersymmetrytransformationsfordeltapotentials |
| first_indexed |
2025-12-07T16:01:56Z |
| last_indexed |
2025-12-07T16:01:56Z |
| _version_ |
1850865946364739584 |