Classical and Quantum Superintegrability of Stäckel Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Classical and Quantum Superintegrability of Stäckel Systems
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| Creator |
Błaszak, M.
Marciniak, K. |
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| Description |
In this paper we discuss maximal superintegrability of both classical and quantum Stäckel systems. We prove a sufficient condition for a flat or constant curvature Stäckel system to be maximally superintegrable. Further, we prove a sufficient condition for a Stäckel transform to preserve maximal superintegrability and we apply this condition to our class of Stäckel systems, which yields new maximally superintegrable systems as conformal deformations of the original systems. Further, we demonstrate how to perform the procedure of minimal quantization to considered systems in order to produce quantum superintegrable and quantum separable systems.
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| Date |
2019-02-18T16:31:01Z
2019-02-18T16:31:01Z 2017 |
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| Type |
Article
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| Identifier |
Classical and Quantum Superintegrability of Stäckel Systems / M. Błaszak, // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 24 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 70H06; 70H20; 81S05; 53B20 DOI:10.3842/SIGMA.2017.008 http://dspace.nbuv.gov.ua/handle/123456789/148607 |
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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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