Quantum stochastic processes and noncommutative geometry - Info and Reading Options
By Kalyan B. Sinha
"Quantum stochastic processes and noncommutative geometry" was published by Cambridge University Press in 2007 - Cambridge, it has 290 pages and the language of the book is English.
“Quantum stochastic processes and noncommutative geometry” Metadata:
- Title: ➤ Quantum stochastic processes and noncommutative geometry
- Author: Kalyan B. Sinha
- Language: English
- Number of Pages: 290
- Publisher: Cambridge University Press
- Publish Date: 2007
- Publish Location: Cambridge
“Quantum stochastic processes and noncommutative geometry” Subjects and Themes:
- Subjects: ➤ Mathematics - Noncommutative differential geometry - Nonfiction - Quantum groups - Quantum theory - Stochastic processes - Geometry, algebraic
Edition Specifications:
- Pagination: x, 290 p. ;
Edition Identifiers:
- The Open Library ID: OL17898351M - OL8331966W
- Online Computer Library Center (OCLC) ID: 73742639
- Library of Congress Control Number (LCCN): 2006034088
- ISBN-13: 9780521834506
- All ISBNs: 9780521834506
AI-generated Review of “Quantum stochastic processes and noncommutative geometry”:
"Quantum stochastic processes and noncommutative geometry" Table Of Contents:
- 1- Introduction
- 2- Preliminaries
- 3- Quantum dynamical semigroups
- 4- Hilbert modules
- 5- Quantum stochastic calculus with bounded coefficients
- 6- Dilation of quantum dynamical semigroups with bounded generator
- 7- Quantum stochastic calculus with unbounded coefficients
- 8- Dilation of quantum dynamical semigroups with unbounded generator
- 9- Noncommutative geometry and quantum stochastic processes.
"Quantum stochastic processes and noncommutative geometry" Description:
The Open Library:
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, id est 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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