New Formula for the Eigenvectors of the Gaudin Model in the sl(3) Case

Abstract

We propose new formulas for eigenvectors of the Gaudin model in the $\sl(3)$ case. The central point of the construction is the explicit form of some operator P, which is used for derivation of eigenvalues given by the formula $|w_1,w_2)={\sum }_{n=0}^{\infty }{P}^n/n!|w_1,w_2,0>$, where $w_1$, $w_2$ fulfil the standard well-know Bethe Ansatz equations.

References in corpus (2)

• Backlund transformations for the sl(2) Gaudin magnet
• Algebraic extensions of Gaudin models