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arXiv · hep-th/9611102

Holstein-Primakoff Realizations on Coadjoint Orbits

Phillial Oh·Chaiho Rim
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Abstract

We derive the Holstein-Primakoff oscillator realization on the coadjoint orbits of the $SU(N+1)$ and $SU(1,N)$ group by treating the coadjoint orbits as a constrained system and performing the symplectic reduction. By using the action-angle variables transformations, we transform the original variables into Darboux variables. The Holstein-Primakoff expressions emerge after quantization in a canonical manner with a suitable normal ordering. The corresponding Dyson realizations are also obtained and some related issues are discussed.

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Phillial Oh, Chaiho Rim. 1996-12-03. Holstein-Primakoff Realizations on Coadjoint Orbits. https://doi.org/10.1142/s0217732397000169

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