Construction of some Quantum Stochastic Operator Cocycles by the Semigroup Method

[摘要] A new method for the construction of Fock-adapted quantum stochastic operator cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter–Kato theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.

[学科分类] 数学（综合）

[关键词] Quantum probability;stochastic cocycle;quantum stochastic differential equation;contraction semigroup;Trotter–Kato.