The bosonic Fock representation and a generalized Shale theorem

Details The bosonic Fock representation and a generalized Shale theorem The bosonic Fock representation and a generalized Shale theorem

2012-03-26

arxiv.org/abs/1203.5841v1

Mathematics

Functional Analysis

LaTeX, 24 pages, no figures

Scientific paper

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.

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