Holstein-Primakoff Realizations on Coadjoint Orbits
نویسندگان
چکیده
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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تاریخ انتشار 2008