Evolution integrals
| dc.creator | Duvenhage, Rocco | |
| dc.date | 2006-02-02 | |
| dc.date | 2006-05-24 | |
| dc.date.accessioned | 2026-07-07T12:09:26Z | |
| dc.date.available | 2026-07-07T12:09:26Z | |
| dc.description | A framework analogous to path integrals in quantum physics is set up for abstract dynamical systems in a W*-algebraic setting. We consider spaces of evolutions, defined in a specific way, of a W*-algebra A as an analogue of spaces of classical paths, and show how integrals over such spaces, which we call ``evolution integrals'', lead to dynamics in a Hilbert space on a ``higher level'' which is viewed as an analogue of quantum dynamics obtained from path integrals. The measures with respect to which these integrals are performed are projection valued. | |
| dc.description | v1: 17 pages. v2: 19 pages, Section 3 extended, Section 4 shortened, Section 5 corrected | |
| dc.identifier | https://arxiv.org/abs/math-ph/0602006 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0602006 | |
| dc.identifier | J. Operator Theory 60 (2008), 199--215. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209628 | |
| dc.subject | Mathematical Physics | |
| dc.title | Evolution integrals | |
| dc.type | text |