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Introduction to Representations of the Canonical Commutation and Anticommutation Relations

2005/11/09 by Jan Derezinski, J. Dereziński
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Algebraic structures and combinatorial models #Random Matrices and Applications #math-ph #math.MP

paper · pdf · doi:10.1007/3-540-32579-4_3

published as Lect.NotesPhys.695:63-143,2006

arxiv created 2005/11/09 · openalex publication_date 2006/09/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/29

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.

Citations