Evolution integrals
Mathematical Physics
2008-12-05 v2 math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0602006,
title = {Evolution integrals},
author = {Rocco Duvenhage},
journal= {arXiv preprint arXiv:math-ph/0602006},
year = {2008}
}
Comments
v1: 17 pages. v2: 19 pages, Section 3 extended, Section 4 shortened, Section 5 corrected