Cocycles of CCR Flows

Buch | Softcover

2001
American Mathematical Society (Verlag)
978-0-8218-2632-4 (ISBN)

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Studies the partially ordered set of quantum dynamical semigroups dominated by a given semigroup on the algebra of bounded operators on a Hilbert space. For semigroups of $*$-endomorphisms, this title describes this set through cocycles to help us to prove a factorization theorem for dilations.

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.

Introduction Compressions and dilations Minimal dilation and induced semigroup Domination for $E_0$-semigroups Compression under domination Units Cocycle computation for CCR flows Factorization theorem Hudson-Parthasarathy cocycles Appendix A. Continuity Appendix B. Discrete case References.

Erscheint lt. Verlag	30.1.2001
Reihe/Serie	Memoirs of the American Mathematical Society
Zusatzinfo	references
Verlagsort	Providence
Sprache	englisch
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	0-8218-2632-8 / 0821826328
ISBN-13	978-0-8218-2632-4 / 9780821826324
Zustand	Neuware