Quantum Potential Theory

2008
ISBN: 978-3-540-69364-2
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1954, 464 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 721 g

Reihe: Lecture Notes in Mathematics

This volume contains the notes of lectures given at the School “Quantum Potential Theory: Structure and Applications to Physics”. This school was held at the Alfried Krupp Wissenschaftskolleg in Greifswald from February 26 to March 9, 2007. We thank the lecturers for the hard work they - complished in preparing and giving these lectures and in writing these notes. Theirlecturesgiveanintroductiontocurrentresearchintheirdomains,which is essentially self-contained and should be accessible to Ph.D. students. We hope that this volume will help to bring together researchers from the areas of classical and quantum probability, functional analysis and operator al- bras, and theoretical and mathematical physics, and contribute in this way to developing further the subject of quantum potential theory. We are greatly indebted to the Alfried Krupp von Bohlen und Halbach- Stiftung for the ?nancial support, without which the school would not have been possible. We are also very thankful for the support by the University of Greifswald and the University of Franche-Comt´ e.One of the organisers(UF) wassupportedby a MarieCurieOutgoingInternationalFellowshipofthe EU (Contract Q-MALL MOIF-CT-2006-022137). Special thanks go to Melanie Hinz who helped with the preparation and organisation of the school and who took care of all of the logistics. Finally, we would like to thank all the students for coming to Greifswald and helping to make the school a success.

Zielgruppe

Research

Autoren/Hrsg.

Konno, Norio

Biane, Philippe

Bouten, Luc

Cipriani, Fabio

Xu, Quanhua

Franz, Uwe

Schuermann, Michael

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Mathematische Analysis Vektoranalysis, Physikalische Felder

Inhaltsverzeichnis

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.