Introduction to representations of the canonical commutation and anticommutation relations

摘要

Lecture notes of a minicourse given at the Summer School on Large CoulombSystems - QED in Nordfjordeid, 2003, devoted to representations of the CCR andCAR. Quasifree states, the Araki-Woods and Araki-Wyss representations, and thelattice of von Neumenn algebras in a bosonic/fermionic Fock space are discussedin detail.