English

Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power

Quantum Physics 2007-05-23 v1

Abstract

The inhomogeneous single-, two- and three-boson realizations of the more general polynomial angular momentum algebra SU_n(2) are obtained from the Fock representations of SU_n(2) that corresponds to the indecomposable representation on the space of universal enveloping algebra U(SU_n(2)) and to the induced representations on the quotient spaces U(SU_n(2))/I_i, with I_i being some left ideals of U(SU_n(2)).

Keywords

Cite

@article{arxiv.quant-ph/0111007,
  title  = {Inhomogeneous boson realizations of the polynomial angular momentum algebra of arbitrary power},
  author = {Dong Ruan and Yufeng Jia and Hongzhou Sun},
  journal= {arXiv preprint arXiv:quant-ph/0111007},
  year   = {2007}
}

Comments

8 pages, LaTex