SU(N) Coherent States and Irreducible Schwinger Bosons

Details SU(N) Coherent States and Irreducible Schwinger Bosons SU(N) Coherent States and Irreducible Schwinger Bosons

2010-07-09

arxiv.org/abs/1007.1510v1

J.Phys.A44:035203,2011

Physics

Mathematical Physics

12 pages, 3 figures

Scientific paper

10.1088/1751-8113/44/3/035203

We exploit the SU(N) irreducible Schwinger boson to construct SU(N) coherent states. This construction of SU(N) coherent state is analogous to the construction of the simplest Heisenberg-Weyl coherent states. The coherent states belonging to irreducible representations of SU(N) are labeled by the eigenvalues of the $(N-1)$ SU(N) Casimir operators and are characterized by $(N-1)$ complex orthonormal vectors describing the SU(N) group manifold.

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