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math.FA2012
A vacuum-adapted approach to quantum Feynman-Kac formulae
Alexander C. R. Belton, J. Martin Lindsay, Adam G. Skalski
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…
math.FA2012★ 3 cited
Quantum Feynman-Kac perturbations
Alexander C. R. Belton, J. Martin Lindsay, Adam G. Skalski
We develop fully noncommutative Feynman-Kac formulae by employing quantum stochastic processes. To this end we establish some theory for perturbing quantum stochastic flows on von…