Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
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| Creator |
Vinet, L.
Zhedanov, A. |
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| Description |
We study Poisson and operator algebras with the ''quasi-linear property'' from the Heisenberg picture point of view. This means that there exists a set of one-parameter groups yielding an explicit expression of dynamical variables (operators) as functions of ''time'' t. We show that many algebras with nonlinear commutation relations such as the Askey-Wilson, q-Dolan-Grady and others satisfy this property. This provides one more (explicit Heisenberg evolution) interpretation of the corresponding integrable systems.
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| Date |
2019-02-19T12:22:25Z
2019-02-19T12:22:25Z 2008 |
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| Type |
Article
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| Identifier |
Quasi-Linear Algebras and Integrability (the Heisenberg Picture) / L. Vinet, A. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 29 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 17B63; 17B37; 47L90 http://dspace.nbuv.gov.ua/handle/123456789/148977 |
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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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