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

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

2001-11-17

arxiv.org/abs/math-ph/0111030v1

Published Journal of Physics A: Mathematical and General 34 (2001) 919-928

Physics

Mathematical Physics

10 pages, no figures

Scientific paper

10.1088/0305-4470/34/4/316

The quantum nonlinear Schr$\ddot{o}$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 $RTT$ relation with the general form of rational R-matrix given by Yang-Baxterization associated with $so(5)$ algebraic structure.

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