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＜E-Book＞
Quantum Potential Theory / by Philippe Biane, Luc Bouten, Fabio Cipriani, Norio Konno, Quanhua Xu ; edited by Uwe Franz, Michael Schuermann
(Lecture Notes in Mathematics. ISSN:16179692 ; 1954)

Edition	1st ed. 2008.
Publisher	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
Year	2008
Language	English
Size	XII, 464 p. 18 illus : online resource
Authors	*Biane, Philippe author Bouten, Luc author Cipriani, Fabio author Konno, Norio author Xu, Quanhua author Franz, Uwe editor Schuermann, Michael editor SpringerLink (Online service)
Subjects	LCSH:Global analysis (Mathematics) LCSH:Manifolds (Mathematics) LCSH:Quantum physics LCSH:Spintronics LCSH:Geometry, Differential LCSH:Potential theory (Mathematics) FREE:Global Analysis and Analysis on Manifolds FREE:Quantum Physics FREE:Spintronics FREE:Differential Geometry FREE:Potential Theory
Notes	Potential Theory in Classical Probability -- to Random Walks on Noncommutative Spaces -- Interactions between Quantum Probability and Operator Space Theory -- Dirichlet Forms on Noncommutative Spaces -- Applications of Quantum Stochastic Processes in Quantum Optics -- Quantum Walks 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 HTTP:URL=https://doi.org/10.1007/978-3-540-69365-9

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