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

Hong-Biao Zhang; Mo-Lin Ge; Kang Xue

doi:10.1088/0305-4470/34/4/316

paper

Y(so(5)) symmtry of the nonlinear Schr $o ¨$ dinger model with four-cmponents

arXiv:math-ph/0111030 · doi:10.1088/0305-4470/34/4/316

Abstract

The quantum nonlinear Schr $o ¨$ dinger(NLS) model with four-component fermions exhibits a $Y (so (5))$ symmetry when considered on an infintite interval. The constructed generators of Yangian are proved to satisfy the Drinfel'd formula and furthermore, the $R T T$ relation with the general form of rational R-matrix given by Yang-Baxterization associated with $so (5)$ algebraic structure.

10 pages, no figures

Y(so(5)) symmtry of the nonlinear Schro¨dinger model with four-cmponents

Abstract

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Y(so(5)) symmtry of the nonlinear Schr $o ¨$ dinger model with four-cmponents