On the Generators of Quantum Stochastic Operator Cocycles

#### S.J. Wills

2007, v.13, №1, 191-211

ABSTRACT

The stochastic generators of Markov-regular operator cocycles on symmetric Fock space are studied in a variety of cases: positive cocycles, projection cocycles, and partially isometric cocycles. Moreover a class of transformations of positive contraction cocycles is exhibited which leads to a polar decomposition result.

Keywords: stochastic cocycle,quantum probability,stochasticdifferential equation,Markov semigroup