Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition by Kalyan B. Sinha (PDF)

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.

User’s Reviews

Editorial Reviews: Review “The authors, two of the best-known experts in the field, provide a book which should find its place on the bookshelf of everybody who is interested in applying quantum stochastic calculus to advanced problems. In particular, anyone who wants to take up the challenge launched by the authors to include noncommutative manifolds in the discussion will welcome this book as the only source available.” Michael Skeide, Mathematical Reviews Book Description Details the interaction between the two vigorous fields of non-commutative geometry and quantum stochastic processes. About the Author Kalyan Sinha is a Distinguished Scientist in the Statistics-Mathematics Unit at the Indian Statistical Institute, New Dehli.Debashish Goswami is an Assistant Professor in the Statistics-Mathematics Unit at the Indian Statistical Institute, Kolkata. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐

⭐

⭐

⭐

⭐

Keywords

Free Download Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition in PDF format
Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition PDF Free Download
Download Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition 2007 PDF Free
Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition 2007 PDF Free Download
Download Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition PDF
Free Download Ebook Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) 1st Edition