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.