par Quesne, Christiane
Référence Journal of Physics A: Mathematical and General, 25, 22, page (5977-5998), 023
Publication Publié, 1992
Article révisé par les pairs
Résumé : The complementarity relationship (also termed duality) that arises between the irreps of the su(3) and u(2) Lie algebras when their direct sum su(3)(+)u(2) is embedded into a larger u(6) algebra and single-row irreps of the latter are considered is extended to the corresponding q-algebras suq(3) and uq(2). It is demonstrated by explicitly constructing the unique q-boson state that is simultaneously maximal in suq(3) and u q(2) for a given u q(2) weight. In addition, the relations between the suq(3) and uq(2) Casimir operators resulting from their complementarity are explicitly found. Together with the q-Bargmann representation of q-boson operators, the complementarity relationship is then used to construct a Gel'fand-Tseitlin basis for arbitrary suq(3) irreps in terms of q-boson operators.