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Quantum Stochastic Processes and Noncommutative Geometry

Af: Kalyan B. Sinha, Debashish Goswami Engelsk Hardback

Quantum Stochastic Processes and Noncommutative Geometry

Af: Kalyan B. Sinha, Debashish Goswami Engelsk Hardback
Tjek vores konkurrenters priser
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 300
ISBN-13: 9780521834506
Indbinding: Hardback
Udgave:
ISBN-10: 0521834503
Kategori: Stokastik
Udg. Dato: 25 jan 2007
Længde: 20mm
Bredde: 162mm
Højde: 235mm
Forlag: Cambridge University Press
Oplagsdato: 25 jan 2007
Forfatter(e) Kalyan B. Sinha, Debashish Goswami


Kategori Stokastik


ISBN-13 9780521834506


Sprog Engelsk


Indbinding Hardback


Sider 300


Udgave


Længde 20mm


Bredde 162mm


Højde 235mm


Udg. Dato 25 jan 2007


Oplagsdato 25 jan 2007


Forlag Cambridge University Press

Kategori sammenhænge