Non-linear Schroedinger Equations, Separation and Symmetry
| dc.creator | Svetlichny, George | |
| dc.date | 1999-06-29 | |
| dc.date.accessioned | 2026-07-07T06:16:43Z | |
| dc.date.available | 2026-07-07T06:16:43Z | |
| dc.description | We investigate the symmetry properties of hierarchies of non-linear Schroedinger equations (introduced by Doebner and Goldin, and Goldin and Svetlichny), which describe non-interacting systems in which tensor product wave-functions evolve by independent evolution of the factors (the separation property). We show that there are obstructions to lifting symmetries existing at a certain number of particles to higher numbers. Such obstructions vanish for particles without internal degrees of freedom and the usual space-time symmetries. For particles with internal degrees of freedom, such as spin, these obstructions are present and their circumvention requires a choice of a new term in the equation for each particle number. A Lie-algebra approach for non-linear theories is developed. | |
| dc.description | LaTeX, 31 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/9906117 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/9906117 | |
| dc.identifier | J.Nonlin.Math.Phys. 2 (1995) 2-26 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94153 | |
| dc.subject | Quantum Physics | |
| dc.title | Non-linear Schroedinger Equations, Separation and Symmetry | |
| dc.type | text |