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Boson realisations of Lie algebras and expansion of shift operators

par Quesne, Christiane
Référence Journal of Physics A: Mathematical and General, 20, 12, page (L753-L758), 001
Publication Publié, 1987

Article révisé par les pairs

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Résumé :

A shift operator expansion is used to extend the range of the boson realisation method of calculation of Lie algebra generator matrix elements to those chains of algebras for which the original technique cannot be applied. The example of wsp(4,R)=w(2)(+)sp(4.R) contains/implies sp(4.R) is treated in detail and a generalisation to wsp (2d,R)=w(d) contains/implies sp(2d,R)(+)sp(2d,R) is pointed out.