Geodesic
Separation of variables in the Gaudin model
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 151-169 
E. K. Sklyanin. Separation of variables in the Gaudin model. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part IX, Tome 164 (1987), pp. 151-169. http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a11/
@article{ZNSL_1987_164_a11,
     author = {E. K. Sklyanin},
     title = {Separation of variables in the {Gaudin} model},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {151--169},
     year = {1987},
     volume = {164},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a11/}
}
TY  - JOUR
AU  - E. K. Sklyanin
TI  - Separation of variables in the Gaudin model
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 1987
SP  - 151
EP  - 169
VL  - 164
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a11/
LA  - ru
ID  - ZNSL_1987_164_a11
ER  - 
%0 Journal Article
%A E. K. Sklyanin
%T Separation of variables in the Gaudin model
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 151-169
%V 164
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a11/
%G ru
%F ZNSL_1987_164_a11

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

The separation of variables is performed for the Gaudin model (a degenerate case of the quantum integrable magnetic $SU(2)$-chain) by means of an explicit change of coordinates® The space of quantum, states is described in terms of ideala in polynomial rings. The structure of the eigeafunetions is studied. Bibl. – 13.