English

Creator-annihilator domains and the number operator

Functional Analysis 2012-04-04 v1 Mathematical Physics math.MP

Abstract

We show that for the bosonic Fock representation in infinite dimensions, the maximal common domain of all creators and annihilators properly contains the domain of the square-root of the number operator.

Cite

@article{arxiv.1204.0712,
  title  = {Creator-annihilator domains and the number operator},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1204.0712},
  year   = {2012}
}

Comments

7 pages, no figures

R2 v1 2026-06-21T20:44:05.171Z