A Lie superalgebraic interpretation of the para‐Bose statistics

We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).

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Bibliographic Details
Published in:Journal of mathematical physics 1980-04, Vol.21 (4), p.797-799
Main Authors: Ganchev, A. Ch, Palev, T. D.
Format: Article
Language:English
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Summary:We show that n pairs of para‐Bose operators generate the classical simple orthosymplectic Lie superalgebra osp(1,2n) ≡B (0,n). The creation and annihilation operators are negative and positive root vectors, respectively, and they span a basis in the odd part of B (o,n).
ISSN:0022-2488
1089-7658
DOI:10.1063/1.524502