Quantum potential theory /

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Bibliographic Details
Imprint:Berlin : Springer, ©2008.
Description:1 online resource (xi, 457 pages) : illustrations.
Series:Lecture notes in mathematics, 0075-8434 ; 1954
Lecture notes in mathematics (Springer-Verlag) ; 1954.
Subject:Potential theory (Mathematics)
Markov processes.
Functional analysis.
Differential Geometry.
Global Analysis and Analysis on Manifolds.
Potential Theory.
Quantum Computing, Information and Physics.
Théorie quantique.
Functional analysis.
Markov processes.
Potential theory (Mathematics)
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11071465
Hidden Bibliographic Details
Other authors / contributors:Schürmann, Michael, 1955-
Franz, Uwe.
Biane, P. (Philippe)
Notes:Includes bibliographical references and index.
Print version record.
Summary: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.
Other form:Print version: Quantum potential theory. Berlin : Springer, ©2008 9783540693642
Standard no.:10.1007/978-3-540-69365-9