Darboux-integrable equations with non-Abelian nonlinearities
| dc.creator | Ustinov, Nikolai V. | |
| dc.creator | Czachor, Marek | |
| dc.date | 2000-11-07 | |
| dc.date | 2002-12-06 | |
| dc.date.accessioned | 2026-07-07T05:33:08Z | |
| dc.date.available | 2026-07-07T05:33:08Z | |
| dc.description | We introduce a new class of nonlinear equations admitting a representation in terms of Darboux-covariant compatibility conditions. Their special cases are, in particular, (i) the "general" von Neumann equation $i\dotρ=[H,f(ρ)]$, with $[f(ρ),ρ]=0$, (ii) its generalization involving certain functions $f(ρ)$ which are non-Abelian in the sense that $[f(ρ),ρ]\neq0$, and (iii) the Nahm equations. | |
| dc.description | LaTeX, 19 pages | |
| dc.identifier | https://arxiv.org/abs/nlin/0011013 | |
| dc.identifier | http://arxiv.org/abs/nlin/0011013 | |
| dc.identifier | in ''Probing the Structure of Quantum Mechanics: Nonlinearity, Nonlocality, Computation, Axiomatics'' (eds. Aerts D., Czachor M. and Durt T.), World Scientific, Singapore, 2002, 335-353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79898 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Physics | |
| dc.title | Darboux-integrable equations with non-Abelian nonlinearities | |
| dc.type | text |