SU(N) Coherent States and Irreducible Schwinger Bosons

Abstract

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.

arXiv comment12 pages, 3 figures

References in corpus (10)

• Generalized Euler Angle Paramterization for SU(N)
• Generalized coherent states for SU(n) systems
• Quantum Antiferromagnets in Two Dimensions
• SU(N) Irreducible Schwinger Bosons
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• Coherent States of the SU(N) groups
• Irreducible SU(3) Schwinger Bosons
• SU(N) Coherent States
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