A class of generalised Jordan-Schwinger maps

Details A class of generalised Jordan-Schwinger maps A class of generalised Jordan-Schwinger maps

2007-07-25

arxiv.org/abs/0707.3721v1

Physics

Mathematical Physics

13 pages, 4 figures

Scientific paper

In this article we introduce a class of generalisations of the Jordan-Schwinger (JS) map which realises the recent proposed generalised sl(2) (G-sl(2)) algebra via two independent Generalised Heisenberg Algebras (GHA). Although the GHA and the G-sl(2) algebra exhibit more general algebraic structures than the Heisenberg and sl(2) algebras, the generalised JS map presents a compact and simple structure wich includes the standard JS map as a particular case. Finally, since in the GHA there is a physical interpretation in terms of composite particles, we will carry out this assertion in a manner that the generalised sl(2) algebra could be related to composite particles with angular momentum.

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