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Lecture Notes in Physics Ser.: Measure Theoretical Approach to Quantum Stochastic Processes by Wilhelm von Waldenfels (2013, Trade Paperback)
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Measure Theoretical Approach to Quantum Stochastic Processes, Paperback by Waldenfels, Wilhelm, ISBN 3642450814, ISBN-13 9783642450815, Brand New, Free shipping in the US Starting from the premise that abstract quantum stochastic processes can be understood as a quantum field theory in one space and time coordinate, this guide considers a number of representative examples and covers advanced topics such as white noise calculus.
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About this product
Product Identifiers
PublisherSpringer Berlin / Heidelberg
ISBN-103642450814
ISBN-139783642450815
eBay Product ID (ePID)177323158
Product Key Features
Number of PagesXvii, 228 Pages
Publication NameMeasure Theoretical Approach to Quantum Stochastic Processes
LanguageEnglish
Publication Year2013
SubjectPhysics / Quantum Theory, Probability & Statistics / Stochastic Processes, Algebra / General, Physics / Mathematical & Computational
TypeTextbook
AuthorWilhelm Von Waldenfels
Subject AreaMathematics, Science
SeriesLecture Notes in Physics Ser.
FormatTrade Paperback
Dimensions
Item Height0.2 in
Item Weight16 Oz
Item Length9.3 in
Item Width6.1 in
Additional Product Features
Intended AudienceScholarly & Professional
ReviewsFrom the book reviews: "This monograph represents a nice survey written in a concise and lucid manner, enabling the reader to quickly and easily grasp the main aspects and ideas of quantum stochastic processes. ... The book is suitable for graduate students or researchers who work in the field of mathematics and physics." (Dora Selesi, Mathematical Reviews, February, 2015)
TitleLeadingA
Dewey Edition23
Series Volume Number878
Number of Volumes1 vol.
IllustratedYes
Dewey Decimal530.143
Table Of ContentWeyl Algebras.- Continuous Sets of Creation and Annihilation Operators.- One-Parameter Groups.- Four Explicitly Calculable One-Excitation Processes.- White Noise Calculus.- Circled Integrals.- White Noise Integration.- The Hudson-Parthasarathy Differential Equation.- The Amplifies Oscillator.- Approximation by Coloured Noise.- Index.
SynopsisStarting from the premise that abstract quantum stochastic processes can be understood as a quantum field theory in one space and time coordinate, this guide considers a number of representative examples and covers advanced topics such as white noise calculus., Weyl Algebras.- Continuous Sets of Creation and Annihilation Operators.- One-Parameter Groups.- Four Explicitly Calculable One-Excitation Processes.- White Noise Calculus.- Circled Integrals.- White Noise Integration.- The Hudson-Parthasarathy Differential Equation.- The Amplifies Oscillator.- Approximation by Coloured Noise.- Index., This monograph takes as starting point that abstract quantum stochastic processes can be understood as a quantum field theory in one space and in one time coordinate. As a result it is appropriate to represent operators as power series of creation and annihilation operators in normal-ordered form, which can be achieved using classical measure theory. Considering in detail four basic examples (e.g. a two-level atom coupled to a heat bath of oscillators), in each case the Hamiltonian of the associated one-parameter strongly continuous group is determined and the spectral decomposition is explicitly calculated in the form of generalized eigen-vectors. Advanced topics include the theory of the Hudson-Parthasarathy equation and the amplified oscillator problem. To that end, a chapter on white noise calculus has also been included.
LC Classification NumberQC173.96-174.52
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