English

Y(so(5)) symmtry of the nonlinear Schr$\ddot{o}$dinger model with four-cmponents

Mathematical Physics 2009-11-07 v1 math.MP

Abstract

The quantum nonlinear Schro¨\ddot{o}dinger(NLS) model with four-component fermions exhibits a Y(so(5))Y(so(5)) symmetry when considered on an infintite interval. The constructed generators of Yangian are proved to satisfy the Drinfel'd formula and furthermore, the RTTRTT relation with the general form of rational R-matrix given by Yang-Baxterization associated with so(5)so(5) algebraic structure.

Keywords

Cite

@article{arxiv.math-ph/0111030,
  title  = {Y(so(5)) symmtry of the nonlinear Schr$\ddot{o}$dinger model with four-cmponents},
  author = {Hong-Biao Zhang and Mo-Lin Ge and Kang Xue},
  journal= {arXiv preprint arXiv:math-ph/0111030},
  year   = {2009}
}

Comments

10 pages, no figures