Quantum Potential Theory

• Main Authors: Biane, Philippe (Author), Bouten, Luc (Author), Cipriani, Fabio (Author), Konno, Norio (Author), Privault, Nicolas (Author), Xu, Quanhua (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Franz, Uwe (Editor), Schürmann, Michael (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1954
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Potential theory (Mathematics).; Differential geometry.; Quantum physics.; Quantum computers.; Spintronics.; Global Analysis and Analysis on Manifolds.; Quantum Physics.; Quantum Information Technology, Spintronics.; Differential Geometry.; Potential Theory.

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 noncommut...

Table of Contents:

• 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.