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Representation theory and q-boson realizations of Witten's su (2) and su (1, 1) deformations

par Delbecq, Christophe ;Quesne, Christiane
Référence Physics letters. Section B, 300, 3, page (227-233)
Publication Publié, 1993

Article révisé par les pairs

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Résumé :

Witten's su (2) and su (1,1) quadratic deformations script type Aq± (2, 1) are studied in detail. Their unitary irreducible representations are classified and various q-boson realizations of Dyson, Holstein-Primakoff or Jordan-Schwinger type are derived. The methods used here may be applied to other su (2) and su (1, 1) nonlinear deformations script type A±= 3, 4, ..., recently introduced to generalize script type Aq± (2, 1) and characterized by exponential J0 spectra.