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Contenido

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.

   INDICE: Potential Theory in Classical Probability, Nicolas Privault.- Introduction to Random Walks on Noncommutative Spaces, Philippe Biane.- Interactions between Qantum Probability and Operator Space Theory, Quanhua Xu.- Dirichlet Forms on Noncommutative Spaces, Fabio Cipriani.- Applications of Controlled Quantum Processes in Quantum Optics, Luc Bouten.- Quantum Walks, Norio Konno.

Interés para ...

Global Analysis and Analysis on Manifolds; Quantum Computing, Information and Physics; Differential Geometry. Researchers and graduate students

Detalles del artículo

• Páginas : 464
• Editorial : Springer
• Idioma : Inglés
• Fecha de Publicación : 01/10/2008
• ISBN: 9783540693642
• Serie: Lecture notes in mathematics
• Encuadernación : Rústica
• Nº Volúmenes : 1
• País de Publicación : Alemania