Cocycles of CCR Flows
B. V. Rajarama Bhat
Jan 2001 · American Mathematical Society: Memoirs of the American Mathematical Society Ibhuku elingu-709 · American Mathematical Soc.
I-Ebook
114
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reportIzilinganiso nezibuyekezo aziqinisekisiwe Funda Kabanzi
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We 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.
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