Geodesic
Bethe equations “on the wrong side of the equator”
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 452-461 
G. P. Pron'ko; Yu. G. Stroganov. Bethe equations “on the wrong side of the equator”. Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 452-461. http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a15/
@article{TMF_1999_118_3_a15,
     author = {G. P. Pron'ko and Yu. G. Stroganov},
     title = {Bethe equations {\textquotedblleft}on the wrong side of the equator{\textquotedblright}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {452--461},
     year = {1999},
     volume = {118},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a15/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The $T$–$Q$ Baxter equations for the $XXX$ ($XXZ$) spin chain are analyzed. For each polynomial (trigonometric) solution of degree not exceeding $N/2$, which provides a solution of the Bethe ansatz equations, there exists a second linearly independent polynomial solution of degree greater than $N/2$. This second solution plays an essential role; in particular, all fusion relations follow from these two solutions.

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