Stochastic Schrödinger evolution and symmetric Kähler manifolds of low dimension
| dc.creator | Hughston, L. P. | |
| dc.creator | Tod, K. P. | |
| dc.date | 2002-12-18 | |
| dc.date.accessioned | 2026-07-07T06:05:44Z | |
| dc.date.available | 2026-07-07T06:05:44Z | |
| dc.description | We consider the manifold-valued, stochastic extension of the Schrödinger equation introduced by Hughston (Proc.Roy.Soc.Lond. A452 (1996) 953) in a manifestly covariant, differential-geometric framework, and examine the resulting quantum evolution on some specific examples of Kähler manifolds with many symmetries. We find conditions on the curvature for the evolution to be a `collapse process' in the sense of Brody and Hughston (Proc.Roy.Soc.Lond. A458 (2002) 1117) or, more generally, a `reduction process', and give examples that satisfy these conditions. For some of these examples, we show that the Lüders projection postulate admits a consistent interpretation and remains valid in the nonlinear regime. | |
| dc.description | latex, 23 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0212107 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0212107 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/90737 | |
| dc.subject | Quantum Physics | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Stochastic Schrödinger evolution and symmetric Kähler manifolds of low dimension | |
| dc.type | text |