Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) - Hardcover

Sinha, Kalyan B.; Goswami, Debashish

 
9780521834506: Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169)
Hardcover
ISBN 10: 0521834503 ISBN 13: 9780521834506
Publisher: Cambridge University Press, 2007

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Authors

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.

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2007
Language
English
ISBN 10 
0521834503
ISBN 13 
9780521834506
Binding
Hardcover
Edition number
1
Number of pages
300