Integrable Quantum Mappings
| dc.creator | Capel, H. W. | |
| dc.creator | Nijhoff, F. W. | |
| dc.date | 1994-09-02 | |
| dc.date.accessioned | 2026-07-07T09:17:46Z | |
| dc.date.available | 2026-07-07T09:17:46Z | |
| dc.description | We discuss the canonical structure of a class of integrable quantum mappings, i.e. iterative canonical transformations that can be interpreted as a discrete dynamical system. As particular examples we consider quantum mappings associated with the lattice analogues of the KdV and MKdV equations. These mappings possess a non-ultralocal quantum Yang-Baxter structure leading to the existence of commuting families of exact quantum invariants. We derive the associated quantum Miura transformations between these mappings and the corresponding quantum bi-Hamiltonian structure. | |
| dc.description | 13 pages, to appear in Proceedings of the Intl. Workshop on Symmetries and Integrability of Difference Equations, eds. D. Levi, L. Vinet and P. Winternitz | |
| dc.identifier | https://arxiv.org/abs/solv-int/9409001 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9409001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153789 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Integrable Quantum Mappings | |
| dc.type | text |