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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Format PDF ● Halaman-halaman 114 ● ISBN 9781470403003 ● Penerbit American Mathematical Society ● Muat turun 3 kali ● Mata wang EUR ● ID 6612905 ● Salin perlindungan Adobe DRM
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