English

SU(N) Coherent States and Irreducible Schwinger Bosons

Mathematical Physics 2010-12-17 v1 math.MP

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 (N1)(N-1) SU(N) Casimir operators and are characterized by (N1)(N-1) complex orthonormal vectors describing the SU(N) group manifold.

Keywords

Cite

@article{arxiv.1007.1510,
  title  = {SU(N) Coherent States and Irreducible Schwinger Bosons},
  author = {Manu Mathur and Indrakshi Raychowdhury},
  journal= {arXiv preprint arXiv:1007.1510},
  year   = {2010}
}

Comments

12 pages, 3 figures