5 citations · 17 across the 12 of their papers we have counts for
6 papers · 1 filter
Additive units of product system
B. V. Rajarama Bhat, Martin Lindsay, Mithun Mukherjee
We introduce the notion of additive units and roots of a unit in a spatial product system. The set of all roots of any unit forms a Hilbert space and its dimension is the same as t…
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…
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…
A quantum stochastic Lie-Trotter product formula
J. Martin Lindsay, Kalyan B. Sinha
A Trotter product formula is established for unitary quantum stochastic processes governed by quantum stochastic differential equations with constant bounded coefficients.
Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method
J. Martin Lindsay, Stephen J. Wills
A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and…
Quantum Stochastic Operator Cocycles via Associated Semigroups
J. Martin Lindsay, Stephen J. Wills
A recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the c…