Holstein-Primakoff Realizations on Coadjoint Orbits

Details Holstein-Primakoff Realizations on Coadjoint Orbits Holstein-Primakoff Realizations on Coadjoint Orbits

1996-11-13

arxiv.org/abs/hep-th/9611102v3

Mod.Phys.Lett. A12 (1997) 163-172

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Revtex, A minor revision is made

Scientific paper

10.1142/S0217732397000169

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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