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OverviewThis 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. Full Product DetailsAuthor: Wilhelm WaldenfelsPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2014 ed. Volume: 878 Dimensions: Width: 15.50cm , Height: 1.30cm , Length: 23.50cm Weight: 0.454kg ISBN: 9783642450815ISBN 10: 3642450814 Pages: 228 Publication Date: 12 December 2013 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsFrom 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) From 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) From 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) Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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