Boson realisation of symplectic algebras

Published under licence by IOP Publishing Ltd
, , Citation M Moshinsky 1985 J. Phys. A: Math. Gen. 18 L1 DOI 10.1088/0305-4470/18/1/001

0305-4470/18/1/L1

Abstract

The boson realisation of the two-dimensional symplectic Lie algebra sp(2) for a given irreducible representation (irrep) of the Sp(2) group has been known for a long time. More recently the boson realisation of the 2d-dimensional symplectic Lie algebras sp(2d) have been derived for particular irreps of the Sp(2d) group. The author outlines the corresponding result for an arbitrary irrep of Sp(2d).

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