Perspectives on Nonlinearity in Quantum Theory
| dc.creator | Goldin, Gerald A. | |
| dc.date | 2000-02-02 | |
| dc.date.accessioned | 2026-07-07T05:59:37Z | |
| dc.date.available | 2026-07-07T05:59:37Z | |
| dc.description | An enlarged group G of nonlinear transformations, modeled on the general linear group GL(2,R), leads to a beautiful, apparently unremarked symmetry between the wave function's phase and the logarithm of its amplitude. Equations Doebner and I earlier proposed are embedded in a wider, natural family of nonlinear time-evolution equations, on which G acts as a gauge group (leaving physical observations invariant). There exist G-invariant quantities that reduce to the usual probability density and flux for linearizable quantum theories in a particular gauge. | |
| dc.description | Submitted Jan. 2000 for the Procs. of the International Symposium `Quantum Theory and Symmetries' (Goslar, 18-22 July 1999). Eds. H.-D. Doebner, V. K. Dobrev, J.-D. Hennig and W. Luecke. Singapore: World Scientific (in press) | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0002013 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0002013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/88744 | |
| dc.subject | Quantum Physics | |
| dc.title | Perspectives on Nonlinearity in Quantum Theory | |
| dc.type | text |