Invariant Classification and Limits of Maximally Superintegrable Systems in 3D
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Invariant Classification and Limits of Maximally Superintegrable Systems in 3D
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| Creator |
Capel, J.J.
Kress, J.M. Post, S. |
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| Description |
The invariant classification of superintegrable systems is reviewed and utilized to construct singular limits between the systems. It is shown, by construction, that all superintegrable systems on conformally flat, 3D complex Riemannian manifolds can be obtained from singular limits of a generic system on the sphere. By using the invariant classification, the limits are geometrically motivated in terms of transformations of roots of the classifying polynomials.
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| Date |
2019-02-12T20:36:35Z
2019-02-12T20:36:35Z 2015 |
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| Type |
Article
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| Identifier |
Invariant Classification and Limits of Maximally Superintegrable Systems in 3D / J.J. Capel, J.M. Kress, S. Post // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 27 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 33C45; 33D45; 33D80; 81R05; 81R12 DOI:10.3842/SIGMA.2015.038 http://dspace.nbuv.gov.ua/handle/123456789/147015 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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