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Quantum Stochastic Processes and Noncommutative Geometry
Kalyan B. Sinha
€ 106.06
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Description for Quantum Stochastic Processes and Noncommutative Geometry
hardcover. Details the interaction between the two vigorous fields of non-commutative geometry and quantum stochastic processes. Series Editor(s): Bollobas, B.; Fulton, W.; Katok, A.; Kirwan, F.; Sarnak, P.; Simon, B. Series: Cambridge Tracts in Mathematics. Num Pages: 300 pages, illustrations. BIC Classification: PBWL; PHQ. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 20. Weight in Grams: 561.
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 ... Read more
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 ... Read more
Product Details
Format
Hardback
Publication date
2007
Publisher
Cambridge University Press United Kingdom
Number of pages
300
Condition
New
Series
Cambridge Tracts in Mathematics
Number of Pages
300
Place of Publication
Cambridge, United Kingdom
ISBN
9780521834506
SKU
V9780521834506
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-16
About Kalyan B. Sinha
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.
Reviews for Quantum Stochastic Processes and Noncommutative Geometry
"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 ... Read more