Jan Derezinski
Introduction to Representations of the Canonical Commutation and Anticommutation Relations
Preprint series: ESI preprints

MSC:

81S05 Commutation relations

46L60 Applications of selfadjoint operator algebras to physics, See also {46N50, 46N55, 47D45, 81T05, 82B10, 82C10}

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.
Keywords: canonical commutation relations, canonical anticommutation relations, von Neumann algebras, quasi-free states