ENGLISH

Quantum Potential Theory

By Uwe Franz , Philippe Biane , Luc Bouten , Fabio Cipriani , Norio Konno , Nicolas Privault , Quanhua Xu (auth.) , Michael Schürmann (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
978-3-540-69364-2, 978-3-540-69365-9
DOI
10.1007/978-3-540-69365-9
Language
english
Format
PDF
Filesize
3 MB (3022337 bytes)
Series
Lecture Notes in Mathematics 1954
Edition
1
Pages
464\466
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Global Analysis and Analysis on Manifolds; QuantumInformation and Physics; Differential Geometry; Po

Description

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.

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