Free white noise flows-Reference-Cited by-同舟云学术

Free white noise flows

Published:2017-09 Issue:03 Volume:20 Page:1750014
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

Affiliation:

1. Centro Vito Volterra, Universitá Degli Studi di Roma Tor Vergata, via Columbia 2-00133 Roma, Italy

2. University Tunis El Manar, Faculté des Sciences de Tunis, University of Carthage, Institut Péparatoire aux Études d’Ingénieure, El Merezka, Nabeul 8058, Tunisia

Abstract

We extend to free white noise Heisenberg equations the proof of the equivalence between (non-Hamiltonian) stochastic differential equations and Hamiltonian white noise equations. This gives in particular, the microscopic structure of the maps defining free white noise stochastic flows in terms of the free white noise derivations defining them.

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/S021902571750014X

Reference21 articles.

1. The Wigner semi-circle law in quantum electro dynamics

2. Quantum Theory and Its Stochastic Limit

3. Module white noise calculus

4. White Noise Approach to stochastic integration

5. WHITE NOISE HEISENBERG EVOLUTION AND EVANS–HUDSON FLOWS

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