Quantum Theory from Small to Large Scales Lecture Notes of the Les Houches Summer School: Volume 95, August 2010

This book collects lecture courses and seminars given at the Les Houches Summer School 2010 on "Quantum Theory: From Small to Large Scales". It reviews the state-of-the-art developments in this field and provides the necessary background for future studies. All chapters are written from a pedagogical perspective, making the book accessible to master and PhD students and researchers willing to enter this field.

1. A Word from the Organizers
2. Mass Renormalization in Nonrelativstic Quantum Electrodynamics, Volker Bach
3. Quantum Brownian Motion, Laszlo Erdos
4. The Temporal Ultraviolet Limit, Tadeusz Balaban, Joel Feldman, Horst Knorrer and Eugene Trubowitz
5. Locality in Quantum Systems, Matthew B. Hastings
6. Entropic Fluctuations in Quantum Statistical Mechanics - An Introduction, V. Jaksic, Y. Ogata, Y. Pautrat, and C.-A. Pillet
7. Quantum Phase Transitions: Introduction and Some Open Problems, Achim Rosch
8. Cold Quantum Gases and Bose-Einstein Condensation, Robert Seiringer
9. Renormalization Group and Problem of Radiation, Israel Michael Sigal
10. SUSY Statistical Mechanics and Random Band Matrices, Thomas Spencer
11. Long-time diffusion for a quantum particle, Wojciech De Roeck
12. Universality of Generalized Wigner Matrices, Horng-Tzer Yau
13. On Transport in Quantum Devices, Gian Michele Graf
14. The ground state construction of the two-dimennsion Hubbard model on the honeycomb lattice, Alessandro Giuliani