Quantum Stochastic Processes and Non-commutative Geometry (Cambridge Tracts in Mathematics): Series Number 169 - Image 1

£156.62

Cambridge University Press Quantum Stochastic Processes and Non-commutative Geometry (Cambridge Tracts in Mathematics): Series Number 169

Name: Quantum Stochastic Processes and Non-commutative Geometry (Cambridge Tracts in Mathematics): Series Number 169
Brand: Cambridge University Press
Price: 156.62 GBP
Availability: InStock

Applied Mathematics

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Description

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.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521834503
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Applied Mathematics
Domain: Amazon UK
Release Date: 25 January 2007
Listed Since: 09 January 2007

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Cambridge University Press Quantum Stochastic Processes and Non-commutative Geometry (Cambridge Tracts in Mathematics): Series Number 169

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