English

Generating functions for the osp(1|2) Clebsch-Gordan coefficients

Mathematical Physics 2016-04-20 v1 math.MP

Abstract

Generating functions for Clebsch-Gordan coefficients of osp(1|2) are derived. These coefficients are expressed as q goes to - 1 limits of the dual q-Hahn polynomials. The generating functions are obtained using two different approaches respectively based on the coherent-state representation and the position representation of osp(1j2).

Cite

@article{arxiv.1507.00018,
  title  = {Generating functions for the osp(1|2) Clebsch-Gordan coefficients},
  author = {Geoffroy Bergeron and Luc Vinet},
  journal= {arXiv preprint arXiv:1507.00018},
  year   = {2016}
}

Comments

21 pages

R2 v1 2026-06-22T10:03:19.846Z