TY  - BOOK
AU  - Biane,Philippe
AU  - Bouten,Luc
AU  - Cipriani,Fabio
AU  - Konno,Norio
AU  - Privault,Nicolas
AU  - Xu,Quanhua
AU  - Franz,Uwe
AU  - Schürmann,Michael
ED  - SpringerLink (Online service)
TI  - Quantum Potential Theory
T2  - Lecture Notes in Mathematics,
SN  - 9783540693659
AV  - QA614-614.97 
U1  - 514.74 23
PY  - 2008///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Global analysis
KW  - Potential theory (Mathematics)
KW  - Global differential geometry
KW  - Quantum computing
KW  - Global Analysis and Analysis on Manifolds
KW  - Quantum Computing, Information and Physics
KW  - Differential Geometry
KW  - Potential Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-540-69365-9
ER  -