Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Lecture Notes in Mathematics (LNM, volume 1954)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This volume contains the revised and completed notes of lectures given at the school "Quantum Potential Theory: Structure and Applications to Physics," held at the Alfried-Krupp-Wissenschaftskolleg in Greifswald from February 26 to March 10, 2007.
Quantum potential theory studies noncommutative (or quantum) analogs of classical potential theory. These lectures provide an introduction to this theory, concentrating on probabilistic potential theory and it quantum analogs, i.e. quantum Markov processes and semigroups, quantum random walks, Dirichlet forms on C* and von Neumann algebras, and boundary theory. Applications to quantum physics, in particular the filtering problem in quantum optics, are also presented.
Editors and Affiliations
Bibliographic Information
Book Title: Quantum Potential Theory
Authors: Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Nicolas Privault, Quanhua Xu
Editors: Uwe Franz, Michael Schürmann
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-69365-9
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-69364-2Published: 23 September 2008
eBook ISBN: 978-3-540-69365-9Published: 16 October 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: XII, 464
Number of Illustrations: 18 b/w illustrations
Topics: Global Analysis and Analysis on Manifolds, Quantum Physics, Quantum Information Technology, Spintronics, Differential Geometry, Potential Theory