CCR and CAR algebras

In mathematics and physics CCR algebras (after canonical commutation relations) and CAR algebras (after canonical anticommutation relations) arise from the quantum mechanical study of bosons and fermions, respectively. They play a prominent role in quantum statistical mechanics[1] and quantum field theory.

  1. ^ Bratteli, Ola; Robinson, Derek W. (1997). Operator Algebras and Quantum Statistical Mechanics: v.2. Springer, 2nd ed. ISBN 978-3-540-61443-2.