par Quesne, Christiane 
Référence Journal of Physics A: Mathematical and General, 23, 23, page (5383-5409), 017
Publication Publié, 1990
Référence Journal of Physics A: Mathematical and General, 23, 23, page (5383-5409), 017
Publication Publié, 1990
Article révisé par les pairs
| Résumé : | Vector coherent states are defined for the positive discrete series irreducible representations of the non-compact orthosymplectic superalgebras osp(P/2N,R), where P=2M or 2M+1. An orthonormal Bargmann-Berezin basis, symmetry-adapted to osp(P/2N,R)so(P)(+)sp(2N,R)so(P)(+)u(N), is constructed and used to develop the K-matrix theory for osp(P/2N,R). A general method is provided for determining the conditions of existence of star representations (and of grade star representations in the osp(2/2N,R) case), and the branching rule for their decomposition into a direct sum of so(P)(+)sp(2N,R) irreducible representations. As a by-product, it also enables the matrix elements of the odd generators between basis states of lowest-weight so(P)(+)u(N) irreducible representations to be calculated in a straightforward way. |
