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Canonical solution of the state labelling problem for SU(n)SO(n) and Littlewood's branching rule. II. Use of modification rules

par Quesne, Christiane
Référence Journal of Physics A: General Physics, 17, 4, page (777-789), 018
Publication Publié, 1984

Article révisé par les pairs

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Résumé :

For pt.I see ibid., vol.16, p.2095 (1983). In part I it was shown that when d(1/2n) case, where Littlewood's branching rule (1950) for U(n) contains/implies O(n) has to be supplemented with Newell's modification rules (1951). The explicit solution of the state labelling problem for (v+1)-row irreducible representations of both SU(2v+1) and SU(2v) is given and is shown to reflect the operation of Littlewood's modified branching rule in a direct way. The generalisation to higher d values is then outlined.