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Holstein-Primakoff Realizations on Coadjoint Orbits

Research paper by Phillial Oh, Chaiho Rim

Indexed on: 02 Dec '96Published on: 02 Dec '96Published in: High Energy Physics - Theory



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.