V. Bach (auth.), Jan Dereziński Professor Dr., Heinz Siedentop Professor Dr. (eds.)3540325786, 9783540325789, 9783540325796
A mathematically consistent formulation of relativistic quantum electrodynamics (QED) has still to be found. Nevertheless, there are several simplified effective models that successfully describe many body quantum systems and the interaction of radiation with matter. Large Coulomb Systems explores a selection of mathematical topics inspired by QED. It comprises selected, expanded and edited lectures given by international experts at a topical summer school and is intended as a high-level introduction for graduate students, postdocs and nonspecialists from related fields.
Table of contents :
A Tutorial Approach to the Renormalization Group and the Smooth Feshbach Map….Pages 1-14
Local States of Free Bose Fields….Pages 15-61
Introduction to Representations of the Canonical Commutation and Anticommutation Relations….Pages 63-143
Mathematical Theory of the Wigner-Weisskopf Atom….Pages 145-215
Non-Relativistic Matter and Quantized Radiation….Pages 217-248
Dilute, Trapped Bose Gases and Bose-Einstein Condensation….Pages 249-274
Perturbation Theory for QED Calculations of High-Z Few-electron Atoms….Pages 275-295
The Relativistic Electron-Positron Field: Hartree-Fock Approximation and Fixed Electron Number….Pages 297-324
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