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Quantum Potential Theory
Lecture Notes in Mathematics 1954
Biane, Philippe/Bouten, Luc/Cipriani, Fabio et al
ISBN/EAN: 9783540693642
Umbreit-Nr.: 1283787
Sprache:
Englisch
Umfang: xii, 464 S., 18 s/w Illustr., 464 p. 18 illus.
Format in cm: 2.7 x 23.5 x 15.6
Einband:
kartoniertes Buch
Erschienen am 23.09.2008
Auflage: 1/2009
- Zusatztext
- 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.
- Kurztext
- This book offers the revised and completed notes of lectures given at the 2007 conference, "Quantum Potential Theory: Structures and Applications to Physics." These lectures provide an introduction to the theory and discuss various applications.
- Autorenportrait
- InhaltsangabePotential 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.