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
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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.
@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},
publisher = {mathdoc},
volume = {164},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_164_a11/}
}
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/