WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS-Reference-Cited by-同舟云学术

WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS

Published:2007-03 Issue:01 Volume:10 Page:111-139
ISSN:0219-0257
Container-title:Infinite Dimensional Analysis, Quantum Probability and Related Topics
language:en
Short-container-title:Infin. Dimens. Anal. Quantum. Probab. Relat. Top.

Author:

ACCARDI LUIGI¹,AYED WIDED²,OUERDIANE HABIB³

Affiliation:

1. Centro Vito Volterra, Università di Roma "Tor Vergata", Via Columbia 2, 00133 Roma, Italy

2. Institut Préparatoire aux Études d'Ingénieurs, El Merezka, 8000, Nabeul, Tunisia

3. Department of Mathematics, Faculté des Sciences de Tunis, 1060, Tunis, Tunisia

Abstract

We study white noise Heisenberg equations giving rise to flows which are *-automorphisms of the observable algebra, but not necessarily inner automorphisms. We prove that the causally normally ordered form of these white noise Heisenberg equations are equivalent to Evans–Hudson flows. This gives in particular, the microscopic structure of the maps defining these flows, in terms of the original white noise derivations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mathematical Physics,Statistics and Probability,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219025707002658

Reference19 articles.

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