English

Coherent states in the fermionic Fock space

Mathematical Physics 2015-12-15 v2 High Energy Physics - Theory math.MP

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.

Keywords

Cite

@article{arxiv.1408.2760,
  title  = {Coherent states in the fermionic Fock space},
  author = {Robert Oeckl},
  journal= {arXiv preprint arXiv:1408.2760},
  year   = {2015}
}

Comments

23 pages, LaTeX + AMS; v2: minor modifications

R2 v1 2026-06-22T05:26:44.550Z