Quantum Hall Effect and Non-commutative Geometry -- Non-commutative Renormalization -- Non-commutative Fluids -- Heisenberg Spin Chains: From Quantum Groups to Neutron Scattering Experiments -- Non-commutative Geometry and the Spectral Model of Space-time
Summary
"The Poincare Seminar is held twice a year at the Institute Henri Poincare in Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation." "This book starts with an introduction by V. Pasquier on the usefulness of non-commutative geometry, especially in the condensed matter context of the Hall effect. This theme is further developed by A. Polychronakos, who together with L. Susskind introduced the concept of non-commutative fluids." "Jean-Michel Maillet compares the experimental results on one dimensional magnetic chains to the theoretical predictions based on the algebraic Bethe Ansatz and related to quantum group symmetries that he actively developed with many collaborators."--Jacket
Notes
Proceedings of the 10th seminar held on Apr. 30, 2007
