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math.FA2010
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.
math.FA2006
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…
math.FA2005
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…