Geodesic
Gaudin magnet and off mass shell Bethe wave functions
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 13-28 
V. V. Mkhitaryan. Gaudin magnet and off mass shell Bethe wave functions. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 1, pp. 13-28. http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a1/
@article{TMF_1997_113_1_a1,
     author = {V. V. Mkhitaryan},
     title = {Gaudin magnet and off mass shell {Bethe} wave functions},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {13--28},
     year = {1997},
     volume = {113},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a1/}
}
TY  - JOUR
AU  - V. V. Mkhitaryan
TI  - Gaudin magnet and off mass shell Bethe wave functions
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1997
SP  - 13
EP  - 28
VL  - 113
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a1/
LA  - ru
ID  - TMF_1997_113_1_a1
ER  - 
%0 Journal Article
%A V. V. Mkhitaryan
%T Gaudin magnet and off mass shell Bethe wave functions
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1997
%P 13-28
%V 113
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1997_113_1_a1/
%G ru
%F TMF_1997_113_1_a1

Voir la notice de l'article provenant de la source Math-Net.Ru

The general Bethe equation (or off-shell Bethe ansatz equation) is proved for the Gaudin magnet in the case of a wide class of complex simple Lie algebras.

[1] M. Goden, Volnovaya funktsiya Bete, Mir, M., 1987 | MR

[2] C. N. Yang, Phys. Rev. Lett., 19 (1967), 1312 | DOI | MR | Zbl

[3] B. Sutherland, Phys. Rev. Lett., 20 (1967), 98 | DOI

[4] P. P. Kulish, N. Yu. Reshetikhin, J. Phys. A: Math. Gen., 16 (1983), 591 | DOI | MR

[5] M. Karowski, P. Weisz, Nucl. Phys. B, 139 (1978), 495 | DOI | MR

[6] F. A. Smirnov, Formfactors In Completely Integrable Models Of Quantum Field Theory, World Scientific Pub. Co., Singapore, 1990 | MR | Zbl

[7] H. M. Babujian, R. Flume, Mod. Phys. Lett. A, 9:22 (1994), 2029 | DOI | MR | Zbl

[8] V. G. Knizhnik, A. B. Zamolodchikov, Nucl. Phys. B, 247 (1984), 83 | DOI | MR | Zbl

[9] H. M. Babujian, “Correlation function in WZNW model as a Bethe wave function for the Gaudin magnetics”, Proc. XXIV Int. Symp. Ahrenshoop (Zeuthen 1990)

[10] B. Feigin, E. Frenkel, N. Yu. Reshetikhin, Commun. Math. Phys., 166 (1994), 27 | DOI | MR | Zbl

[11] L. A. Takhtadzhyan, L. D. Faddeev, Gamiltonov podkhod v teorii solitonov, Nauka, M., 1986 | MR | Zbl

[12] D. P. Zhelobenko, A. I. Shtern, Predstavleniya grupp Li, Nauka, M., 1983 | MR