Feynman-Kac perturbation of \(C^*\) quantum stochastic flows
type: Item
instance of: scholarly article
title: Feynman-Kac perturbation of \(C^*\) quantum stochastic flows
author: Alexander Belton
author: Stephen J. Wills
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2024-10-24T00:00:00Z
review text: The authors extend the method of Feynman-Kac perturbation of quantum stochastic processes, usually developed within the framework of processes on von Neumann algebras, to \(C^*\) quantum stochastic flows. In this framework much greater care is needed. The theory of operator spaces is exploited to enable a broadening of the scope to flows on \(C^*\) algebras. The hypotheses that need to be verified in this general setting may seem numerous, but the authors provide auxiliary results that allow simplification in many of the cases which arise in practice. The last section of this very well written paper provides a wide variety of illustrative examples, which is very useful to realize both the difficulty of the mathematical problems and the possible applications of the results.
reviewed by: Franco Fagnola
Mathematics Subject Classification ID: 46L53
Mathematics Subject Classification ID: 81S25
Mathematics Subject Classification ID: 60H05
zbMATH DE Number: 7931636
zbMATH Keywords: Markovian cocycle
zbMATH Keywords: quantum stochastic differential equation
zbMATH Keywords: multiplier equation
zbMATH Keywords: quantum exclusion process
zbMATH Keywords: flows on universal \(C^*\) algebras
MaRDI profile type: Publication
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DOI: 10.1007/S13226-024-00648-7
description: scientific article; zbMATH DE number 7931636