Wave functions of quantum integrable systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 57 (1983) no. 1, pp. 148-153
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/
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     title = {Wave functions of quantum integrable systems},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1983_57_1_a17/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[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