Science/Engineering Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics) (0521834503)

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Author: Debashish Goswami, Kalyan B. Sinha

Publisher: Cambridge University Press (2007)

Binding: Hardcover, 300 pages

pricer: $97.00

ISBN-10: 0521834503

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The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; analogously quantum stochastic processes can be used to model the dynamics of irreversible quantum systems. Noncommutative, i.e. quantum, geometry provides a framework in which quantum stochastic structures can be explored. This book is the first to describe how these two mathematical constructions are related. In particular, key ideas of semigroups and complete positivity are combined to yield quantum dynamical semigroups (QDS). Sinha and Goswami also develop a general theory of Evans-Hudson dilation for both bounded and unbounded coefficients. The unique features of the book, including the interaction of QDS and quantum stochastic calculus with noncommutative geometry and a thorough discussion of this calculus with unbounded coefficients, will make it of interest to graduate students and researchers in functional analysis, probability and mathematical physics.

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	Technical Quantum Field Theory and Noncommutative Geometry Ursula Carow-Watamura, Yoshiaki Maeda, Satoshi Watamura, "Quantum Field Theory and Noncommutative Geometry (Lecture Notes in Physics)"Springer; 1 edition (April 29, 2005) \| English \| 3540239006 \| 297 pages \| PDF \| 2.52 MBThis volume reflect ...
	Technical Lévy Processes and Stochastic Calculus (Cambridge Studies in Advanced Mathematics) Lévy Processes and Stochastic Calculus (Cambridge Studies in Advanced Mathematics): David Applebaum Cambridge University Press \| ISBN: 0521738652 \| May 31, 2009 \| PDF (OCR) \| 480 pages \| 1818 KB Lévy processes form a wide and rich ...
	The Cube-A Window to Convex and Discrete Geometry (Cambridge Tracts in Mathematics) Author: Chuanming ZongPublisher: Cambridge University Press (2006)Binding: Hardcover, 184 pagespricer: $86.00ISBN-10: 0521855357editorialreviewsEight topics about the unit cubes are introduced within this textbook: cross sections, projecti ...
	Analysis and Geometry on Groups (Cambridge Tracts in Mathematics) Analysis and Geometry on Groups (Cambridge Tracts in Mathematics)Cambridge University Press \| 2008-12-11 \| ISBN: 0521088011 \| 172 pages \| PDF \| 2 MBThe geometry and analysis that is discussed in this book extends to classical results for ge ...
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