An intrinsically self-conjugate boson structure: The symplecton

We demonstrate by explicit construction a primitive minimal realization of the SU(2) ≅ Sp(2) symmetry group in terms of a single boson operator. Our construction denies the usual ‘boson calculus rule’ ( a | 0> ≡ 0) and as such constitutes a generalization of the boson calculus. The resulting inhe...

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Bibliographic Details
Published in:Annals of physics 1971-01, Vol.63 (2), p.459-475
Main Authors: Biedenharn, L.C, Louck, James D
Format: Article
Language:English
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Summary:We demonstrate by explicit construction a primitive minimal realization of the SU(2) ≅ Sp(2) symmetry group in terms of a single boson operator. Our construction denies the usual ‘boson calculus rule’ ( a | 0> ≡ 0) and as such constitutes a generalization of the boson calculus. The resulting inherently conjugation symmetric structure we denote as a symplecton.
ISSN:0003-4916
1096-035X
DOI:10.1016/0003-4916(71)90022-4