O'Reilly logo

Mathematics of Quantization and Quantum Fields by Christian Gérard, Jan Derezinski

Stay ahead with the world's most comprehensive technology and business learning platform.

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, tutorials, and more.

Start Free Trial

No credit card required

13

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 ...

With Safari, you learn the way you learn best. Get unlimited access to videos, live online training, learning paths, books, interactive tutorials, and more.

Start Free Trial

No credit card required