On The Generators Of Quantum Stochastic Operator Cocycles

Details On The Generators Of Quantum Stochastic Operator Cocycles On The Generators Of Quantum Stochastic Operator Cocycles

2005-10-10

arxiv.org/abs/math-ph/0510040v3

Physics

Mathematical Physics

15 pages; accepted in special volume of Markov Processes and Related Fields for the John Lewis Memorial Conference, DIT Dublin

Scientific paper

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.

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