CAR on Fock spaces
This chapter is devoted to the study of Fock representations of the canonical anti-commutation relations, a basic tool of quantum many-body theory and quantum field theory. It is parallel to Chap. 9, where Fock CCR representations were studied.
The basic framework is almost the same as in Chap. 9. Throughout this chapter is a Hilbert space, called the one-particle space. We will consider the Fock CAR representation acting on the fermionic Fock space Γa ().
As in Sect. 1.3, we introduce the space
which will serve as the ...