SU(N)相干态与不可约Schwinger玻色子
SU(N) Coherent States and Irreducible Schwinger Bosons
摘要:
利用SU(N)不可约Schwinger玻色子构造SU(N)相干态。这种SU(N)相干态的构造类似于最简单的海森堡-外尔相干态的构造。属于SU(N)不可约表示的相干态用$(N-1)$ SU(N)Casimir算符的本征值来标记,并用描述SU(N)群流形的$(N-1)$复正交向量来表征.
英文摘要:
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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