New Formula for the Eigenvectors of the Gaudin Model in the $sl(3)$ Case
2008, Volume 13, Number 5, pp. 403-416
Author(s): Burdík C., Navrátil O.
Author(s): Burdík C., Navrátil O.
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
$|w_1, w_2) = \sum\limits_{n=0}^\infty \frac{P^n}{n!}| w_1, w_2, 0>$,
where $w_1$, $w_2$ fulfil the standard well-know Bethe Ansatz equations.
$|w_1, w_2) = \sum\limits_{n=0}^\infty \frac{P^n}{n!}| w_1, w_2, 0>$,
where $w_1$, $w_2$ fulfil the standard well-know Bethe Ansatz equations.
|
Access to the full text on the Springer website |