par Deenen, Jacques ;Quesne, Christiane
Référence Journal of Physics A: Mathematical and General, 17, 8, page (L405-L409), 002
Publication Publié, 1984
Article révisé par les pairs
Résumé : For the discrete series irreducible representations (( lambda +n/2) d) of Sp(2d,R), the determination of the Sp(2d,R) generator matrix elements in an Sp(2d,R) contains/implies U(d) basis is reduced to the much simpler calculation of boson operator matrix elements between U( nu ) contains/implies U(d) boson states, where nu =d(d+1)/2. The key of this reduction is the previously derived Holstein-Primakoff boson representation of the Sp(2d,R) generators. As an illustration, the case of Sp(6,R) is worked out in detail.