Algebraic Quantization of Integrable Models in Discrete Space-time
| dc.creator | Faddeev, L. D. | |
| dc.creator | Volkov, A. Yu. | |
| dc.date | 1997-10-04 | |
| dc.date | 1997-10-08 | |
| dc.date.accessioned | 2026-07-07T04:23:42Z | |
| dc.date.available | 2026-07-07T04:23:42Z | |
| dc.description | Just like decent classical difference-difference systems define symplectic maps on suitable phase spaces, their counterparts with properly ordered noncommutative entries come as Heisenberg equations of motion for corresponding quantum discrete-discrete models. We observe how this idea applies to a difference-difference counterpart of the Liouville equation. We produce explicit forms of of its evolution operator for the two natural space-time coordinate systems. We discover that discrete-discrete models inherit crucial features of their continuous-time parents like locality and integrability while the new-found algebraic transparency promises a useful progress in some branches of Quantum Inverse Scattering Method. | |
| dc.description | 22 pages, LATEX2e, misprints corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/9710039 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9710039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55130 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Algebraic Quantization of Integrable Models in Discrete Space-time | |
| dc.type | text |