On The Generators Of Quantum Stochastic Operator Cocycles

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.

15 pages; accepted in special volume of Markov Processes and Related Fields for the John Lewis Memorial Conference, DIT Dublin 2005. An error rectified; illustrative examples added