English

Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator

Mathematical Physics 2018-09-21 v2 High Energy Physics - Theory math.MP

Abstract

The quantum SL(3,C) invariant spin magnet with infinite-dimensional principal series representation in local spaces is considered. We construct eigenfunctions of Sklyanin B-operator which define the representation of separated variables of the model.

Keywords

Cite

@article{arxiv.1807.00302,
  title  = {Separation of variables for the quantum SL(3,C) spin magnet: eigenfunctions of Sklyanin B-operator},
  author = {S. E. Derkachov and P. A. Valinevich},
  journal= {arXiv preprint arXiv:1807.00302},
  year   = {2018}
}