Quantum Potential Theory

Biane, Philippe; Bouten, Luc; Cipriani, Fabio; Konno, Norio; Privault, Nicolas

ISBN 10: 3540693645 / ISBN 13: 9783540693642

Editore: Springer, 2008

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Titolo: Quantum Potential Theory

Casa editrice: Springer

Data di pubblicazione: 2008

Legatura: Brossura

Condizione: New

Descrizione articolo

Riassunto:

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.

Dalla quarta di copertina:

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.