Quasi-Linear Algebras and Integrability (the Heisenberg Picture)
| dc.creator | Vinet, Luc | |
| dc.creator | Zhedanov, Alexei | |
| dc.date | 2008-02-06 | |
| dc.date.accessioned | 2026-07-07T09:34:52Z | |
| dc.date.available | 2026-07-07T09:34:52Z | |
| dc.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. | |
| dc.description | This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0802.0744 | |
| dc.identifier | http://arxiv.org/abs/0802.0744 | |
| dc.identifier | SIGMA 4 (2008), 015, 22 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159645 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.title | Quasi-Linear Algebras and Integrability (the Heisenberg Picture) | |
| dc.type | text |