Geodesic
Wave functions of quantum integrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 148-153 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Explicit expressions are given for the wave functions of quantum integrable systems of the Calogero–Sutherland type associated with the classical root systems and the root system of the dihedral group. 
@article{TMF_1983_57_1_a17,
     author = {M. A. Olshanetsky},
     title = {Wave functions of quantum integrable systems},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {148--153},
     year = {1983},
     volume = {57},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a17/}
}
TY  - JOUR
AU  - M. A. Olshanetsky
TI  - Wave functions of quantum integrable systems
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1983
SP  - 148
EP  - 153
VL  - 57
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a17/
LA  - ru
ID  - TMF_1983_57_1_a17
ER  - 
%0 Journal Article
%A M. A. Olshanetsky
%T Wave functions of quantum integrable systems
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1983
%P 148-153
%V 57
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a17/
%G ru
%F TMF_1983_57_1_a17
M. A. Olshanetsky. Wave functions of quantum integrable systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 148-153. http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a17/

[1] Faddeev L. D., Soviet Scientific Reviews (Math. Phys.), C1 (1981), 107–160

[2] Thacker H. B., Rev. Mod. Phys., 53 (1981), 253–285 | DOI | MR

[3] Kulish P. P., Sklyanin E. K., Lect. Notes in Phys., 151 (1982), 61–119 | DOI | MR | Zbl

[4] Burbaki N., Gruppy i algebry Li, Mir, M., 1972 | MR | Zbl

[5] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964 | Zbl

[6] Olshanetsky M. A., Perelomov A. M., Lett. Math. Phys., 2:1 (1977), 7–13 | DOI | MR | Zbl

[7] Olshanetskii M. A., Perelomov A. M., Funkts. analiz i ego prilozh., 12:2 (1978), 57–65 | MR

[8] Calogero F., J. Math. Phys., 10:12 (1969), 2191–2196 | DOI | MR

[9] Sutherland B., Phys. Rev., A4:5 (1971), 2019–2021 | DOI

[10] Harish-Chandra, Amer. J. Math., 81:3 (1958), 241–310 | DOI | MR

[11] Gindikin S. G., Funkts. analiz i ego prilozh., 1:1 (1967), 32–38 | MR

[12] Gindikin S. G., Karpelevich F. I., DAN SSSR, 145:2 (1962), 252–255 | MR

[13] Zamolodchikov A. B., Zamolodchikov Al. B., Ann. Phys., 120:2 (1979), 253–291 | DOI | MR

[14] Kulish P. P., TMF, 26:2 (1976), 198–205 | MR

[15] Olshanetskii M. A., UMN, 27:3 (1972), 211–212 | MR

[16] Berezin F. A., Karpelevich F. I., DAN SSSR, 118:1 (1958), 9–12 | MR | Zbl

[17] Calogero F., Marchioro C., J. Math. Phys., 15:9 (1974), 1425–1430 | DOI | MR

[18] Wolfes J., J. Math. Phys., 15:9 (1974), 1420–1424 | DOI | MR