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A vacuum-adapted approach to quantum Feynman-Kac formulae

2012/02/23 by Alexander C. R. Belton, Belton, Alexander C. R., J. Martin Lindsay +3
Mathematics · #47N50 #81S25 #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Primary 47D08 #Secondary 46L53 #math.FA #math.OA #msc:46L53 #msc:47D08 #msc:47N50 #msc:81S25

paper · pdf · doi:10.48550/arxiv.1202.5241

15 pages

arxiv created 2012/02/23 · arxiv updated 2012/02/24

Abstract

The vacuum-adapted formulation of quantum stochastic calculus is employed to perturb expectation semigroups via a Feynman-Kac formula. This gives an alternative perspective on the perturbation theory for quantum stochastic flows that has recently been developed by the authors.

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