Bethe equations ``on the wrong side of the equator''
Teoretičeskaâ i matematičeskaâ fizika, Tome 118 (1999) no. 3, pp. 452-461
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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.
@article{TMF_1999_118_3_a15,
author = {G. P. Pron'ko and Yu. G. Stroganov},
title = {Bethe equations ``on the wrong side of the equator''},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {452--461},
publisher = {mathdoc},
volume = {118},
number = {3},
year = {1999},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a15/}
}
TY - JOUR AU - G. P. Pron'ko AU - Yu. G. Stroganov TI - Bethe equations ``on the wrong side of the equator'' JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1999 SP - 452 EP - 461 VL - 118 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1999_118_3_a15/ LA - ru ID - TMF_1999_118_3_a15 ER -
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/