Overview
- Authored by a leading researcher in the field
- Self-contained presentation of the subject matter
- Examines a number of worked examples in detail
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Physics (LNP, volume 878)
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Table of contents (10 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
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 Seleši, Mathematical Reviews, February, 2015)
Authors and Affiliations
Bibliographic Information
Book Title: A Measure Theoretical Approach to Quantum Stochastic Processes
Authors: Wilhelm Waldenfels
Series Title: Lecture Notes in Physics
DOI: https://doi.org/10.1007/978-3-642-45082-2
Publisher: Springer Berlin, Heidelberg
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2014
Softcover ISBN: 978-3-642-45081-5Published: 12 December 2013
eBook ISBN: 978-3-642-45082-2Published: 29 November 2013
Series ISSN: 0075-8450
Series E-ISSN: 1616-6361
Edition Number: 1
Number of Pages: XVII, 228
Topics: Quantum Physics, Mathematical Physics, Mathematical Methods in Physics