English

Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C) magnet

Mathematical Physics 2015-11-02 v2 High Energy Physics - Theory math.MP

Abstract

Eigenfunctions of the matrix elements of the monodromy matrix provide a convenient basis for studies of spin chain models. We present an iterative method for constructing the eigenfunctions in the case of the SL(2,C) spin chains. We derived an explicit integral representation for the eigenfunctions and calculated the corresponding scalar products (Sklyanin's measure).

Keywords

Cite

@article{arxiv.1401.7477,
  title  = {Iterative construction of eigenfunctions of the monodromy matrix for SL(2,C) magnet},
  author = {S. E. Derkachov and A. N. Manashov},
  journal= {arXiv preprint arXiv:1401.7477},
  year   = {2015}
}

Comments

25 pages, 8 figures, published version