Cocycles of CCR Flows
Author: B. V. Rajarama Bhat
Publisher: American Mathematical Soc.
Published: 2001
Total Pages: 130
ISBN-13: 0821826328
DOWNLOAD EBOOKWe study the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of all bounded operators on a Hilbert space. For semigroups of *-endomorphisms this set can be described through cocycles. This helps us to prove a factorization theorem for dilations and to show that minimal dilations of quantum dynamical semigroups with bounded generators can be got through Hudson-Parthasarathy cocycles.