Geodesic
Proof of the invariance of the Bethe-ansatz solutions under complex conjugation
Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 154-159 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

It is shown that the solutions to the systems of algebraic equations obtained when the Bethe ansatz is applied to the integrable $XXX$ and $XXZ$ magnets of arbitrary spin are invartant under complex conjugation. 
@article{TMF_1986_66_1_a12,
     author = {A. A. Vladimirov},
     title = {Proof of the invariance of the {Bethe-ansatz} solutions under complex conjugation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {154--159},
     year = {1986},
     volume = {66},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a12/}
}
TY  - JOUR
AU  - A. A. Vladimirov
TI  - Proof of the invariance of the Bethe-ansatz solutions under complex conjugation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1986
SP  - 154
EP  - 159
VL  - 66
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a12/
LA  - ru
ID  - TMF_1986_66_1_a12
ER  - 
%0 Journal Article
%A A. A. Vladimirov
%T Proof of the invariance of the Bethe-ansatz solutions under complex conjugation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1986
%P 154-159
%V 66
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a12/
%G ru
%F TMF_1986_66_1_a12
A. A. Vladimirov. Proof of the invariance of the Bethe-ansatz solutions under complex conjugation. Teoretičeskaâ i matematičeskaâ fizika, Tome 66 (1986) no. 1, pp. 154-159. http://geodesic.mathdoc.fr/item/TMF_1986_66_1_a12/

[1] Bethe H., Z. Phys., 71 (1931), 205–226 | DOI

[2] Takhtadzhyan L. A., Faddeev L. D., UMN, 34:5 (1979), 13–63 | MR

[3] Takhtadzhyan L. A., Faddeev L. D., Zap. nauch. semin. LOMI, 109, 1981, 134–178 | MR | Zbl

[4] Lowenstein J. H., Les Houches Lectures, Preprint NYU/TR9/82, University, N.-Y., 1982

[5] Gaudin M., La fonction d'onde de Bethe, Masson, Paris, 1983 | MR | Zbl

[6] Babelon O., de Vega H. J., Viallet C. M., Nucl. Phys., B220 (1983), 13–34 | DOI | MR

[7] Tarasov V. O., Takhtadzhyan L. A., Faddeev L. D., TMF, 57 (1983), 163–181 | MR

[8] Kulish P. P., Reshetikhin N. Yu., Sklyanin E. K., Lett. Math. Phys., 5 (1981), 393–403 | DOI | MR | Zbl

[9] Kulish P. P., Mezhdunarodnyi simpozium po izbrannym problemam statisticheskoi mekhaniki, OIYaI, Dubna, 1981, 147–158

[10] Takhtajan L. A., Phys. Lett., 87A (1982), 479–482 ; Babujian H. M., Nucl. Phys., B215 (1983), 317–336 | DOI | MR | DOI | MR

[11] Kulish P. P., Reshetikhin N. Yu., Zap. nauch. semin. LOMI, 101, 1981, 101–110 | MR

[12] Sogo K., Phys. Lett., 104A (1984), 51–54 | DOI | MR