Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism
We construct two-dimensional integrable and superintegrable systems in terms of the master function formalism and relate them to Mielnik’s and Marquette’s construction in supersymmetric quantum mechanics. For two different cases of the master functions, we obtain two different two-dimensional superi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2018/5647148 |
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| _version_ | 1832568311983898624 |
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| author | Z. Alizadeh H. Panahi |
| author_facet | Z. Alizadeh H. Panahi |
| author_sort | Z. Alizadeh |
| collection | DOAJ |
| description | We construct two-dimensional integrable and superintegrable systems in terms of the master function formalism and relate them to Mielnik’s and Marquette’s construction in supersymmetric quantum mechanics. For two different cases of the master functions, we obtain two different two-dimensional superintegrable systems with higher order integrals of motion. |
| format | Article |
| id | doaj-art-bec48dd461e94f08a7cfd47903b46dcc |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-bec48dd461e94f08a7cfd47903b46dcc2025-02-03T00:59:19ZengWileyAdvances in High Energy Physics1687-73571687-73652018-01-01201810.1155/2018/56471485647148Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function FormalismZ. Alizadeh0H. Panahi1Department of Physics, University of Guilan, Rasht 51335-1914, IranDepartment of Physics, University of Guilan, Rasht 51335-1914, IranWe construct two-dimensional integrable and superintegrable systems in terms of the master function formalism and relate them to Mielnik’s and Marquette’s construction in supersymmetric quantum mechanics. For two different cases of the master functions, we obtain two different two-dimensional superintegrable systems with higher order integrals of motion.http://dx.doi.org/10.1155/2018/5647148 |
| spellingShingle | Z. Alizadeh H. Panahi Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism Advances in High Energy Physics |
| title | Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism |
| title_full | Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism |
| title_fullStr | Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism |
| title_full_unstemmed | Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism |
| title_short | Integrable and Superintegrable Systems with Higher Order Integrals of Motion: Master Function Formalism |
| title_sort | integrable and superintegrable systems with higher order integrals of motion master function formalism |
| url | http://dx.doi.org/10.1155/2018/5647148 |
| work_keys_str_mv | AT zalizadeh integrableandsuperintegrablesystemswithhigherorderintegralsofmotionmasterfunctionformalism AT hpanahi integrableandsuperintegrablesystemswithhigherorderintegralsofmotionmasterfunctionformalism |