O. Navrátil
Publications:
Burdík C., Navrátil O.
New Formula for the Eigenvectors of the Gaudin Model in the $sl(3)$ Case
2008, vol. 13, no. 5, pp. 403-416
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
$|w_1, w_2) = \sum\limits_{n=0}^\infty \frac{P^n}{n!}| w_1, w_2, 0>$, where $w_1$, $w_2$ fulfil the standard well-know Bethe Ansatz equations. |