Introduction to representations of the canonical commutation and anticommutation relations
arXiv:math-ph/0511030 · doi:10.1007/3-540-32579-4_3
Abstract
Lecture notes of a minicourse given at the Summer School on Large Coulomb Systems - QED in Nordfjordeid, 2003, devoted to representations of the CCR and CAR. Quasifree states, the Araki-Woods and Araki-Wyss representations, and the lattice of von Neumenn algebras in a bosonic/fermionic Fock space are discussed in detail.
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