On the Space-Time Geometry of Quantum Systems
| dc.creator | Graudenz, Dirk | |
| dc.date | 1994-12-05 | |
| dc.date.accessioned | 2026-07-07T03:30:33Z | |
| dc.date.available | 2026-07-07T03:30:33Z | |
| dc.description | We describe the time evolution of quantum systems in a classical background space-time by means of a covariant derivative in an infinite dimensional vector bundle. The corresponding parallel transport operator along a timelike curve $\cC$ is interpreted as the time evolution operator of an observer moving along $\cC$. The holonomy group of the connection, which can be interpreted as a group of local symmetry transformations, and the set of observables have to satisfy certain consistency conditions. Two examples related to local $\mbox{SO}(3)$ and $\mbox{U}(1)$-symmetries, respectively, are discussed in detail. The theory developed in this paper may also be useful to analyze situations where the underlying space-time manifold has closed timelike curves. | |
| dc.description | 15 pages (LaTeX); figures are included via epsfig; the corresponding postscript files are uuencoded; AMS-fonts are needed | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9412013 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9412013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/35565 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On the Space-Time Geometry of Quantum Systems | |
| dc.type | text |