English

The bosonic Fock representation and a generalized Shale theorem

Functional Analysis 2012-03-28 v1 Mathematical Physics math.MP

Abstract

We detail a new approach to the bosonic Fock representation of a complex Hilbert space V: our account places the bosonic Fock space S[V] between the symmetric algebra SV and its full antidual SV'; in addition to providing a context in which arbitrary (not necessarily restricted) real symplectic automorphisms of V are implemented, it offers simplified proofs of many standard results of the theory.

Keywords

Cite

@article{arxiv.1203.5841,
  title  = {The bosonic Fock representation and a generalized Shale theorem},
  author = {P. L. Robinson},
  journal= {arXiv preprint arXiv:1203.5841},
  year   = {2012}
}

Comments

LaTeX, 24 pages, no figures