Wednesday, March 28, 2012

1203.5841 (P. L. Robinson)

The bosonic Fock representation and a generalized Shale theorem    [PDF]

P. L. Robinson
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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