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Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169) - Hardcover
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...
Book Description
The authors detail the interaction between the two vigorous fields of non-commutative geometry and quantum stochastic processes - subjects with wide ranging applications within the world of physics. They describe a modern method of constructing quantum stochastic processes and relate these constructions to the associated non-commutative geometric spaces.
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.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2007
- ISBN 10 0521834503
- ISBN 13 9780521834506
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages300
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Quantum Stochastic Processes and Noncommutative Geometry (Volume 169)
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Cambridge University Press, 2007
ISBN 10: 0521834503
ISBN 13: 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry (Hardcover)
Published by
Cambridge University Press, Cambridge, 2007
ISBN 10: 0521834503
ISBN 13: 9780521834506
New
Hardcover
First Edition
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry 169 Cambridge Tracts in Mathematics, Series Number 169
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ISBN 13: 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry 169 Cambridge Tracts in Mathematics, Series Number 169
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ISBN 10: 0521834503
ISBN 13: 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry
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Quantum Stochastic Processes and Noncommutative Geometry
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Quantum Stochastic Processes and Noncommutative Geometry (Hardcover)
Published by
Cambridge University Press, Cambridge, 2007
ISBN 10: 0521834503
ISBN 13: 9780521834506
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Hardcover
First Edition
Seller: CitiRetail, Stevenage, United Kingdom
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169)
Published by
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ISBN 10: 0521834503
ISBN 13: 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry (Cambridge Tracts in Mathematics, Series Number 169)
Published by
Cambridge University Press, 2007
ISBN 10: 0521834503
ISBN 13: 9780521834506
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Quantum Stochastic Processes and Noncommutative Geometry (Hardcover)
Published by
Cambridge University Press, Cambridge, 2007
ISBN 10: 0521834503
ISBN 13: 9780521834506
New
Hardcover
First Edition
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Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521834506
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