Coherent states in the fermionic Fock space

Abstract

We construct the coherent states in the sense of Gilmore and Perelomov for the fermionic Fock space. Our treatment is from the outset adapted to the infinite-dimensional case. The fermionic Fock space becomes in this way a reproducing kernel Hilbert space of continuous holomorphic functions.

23 pages, LaTeX + AMS; v2: minor modifications

Cited by in corpus (2)

• Generalization of Balian-Brezin decomposition for exponentials with linear fermionic part
• Coherent states in fermionic Fock-Krein spaces and their amplitudes