Calogero quantum problem, Knizhnik--Zamolodchikov equation and Huygens principle
Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 3, pp. 524-535
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The interrelations between Calogero quantum problem and Knizhnik–Zamolodchikov equation are described following Matsuo, Cherednik, Felder and the author. As the basic tool of the considerations the Dunkl operator is used. The generalizations related to arbitrary Coxeter group and the applications to the Hadamard problem about the hyperbolic equations with the Huygens principle are discussed.
@article{TMF_1994_98_3_a19,
author = {A. P. Veselov},
title = {Calogero quantum problem, {Knizhnik--Zamolodchikov} equation and {Huygens} principle},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {524--535},
publisher = {mathdoc},
volume = {98},
number = {3},
year = {1994},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a19/}
}
TY - JOUR AU - A. P. Veselov TI - Calogero quantum problem, Knizhnik--Zamolodchikov equation and Huygens principle JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 524 EP - 535 VL - 98 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a19/ LA - ru ID - TMF_1994_98_3_a19 ER -
A. P. Veselov. Calogero quantum problem, Knizhnik--Zamolodchikov equation and Huygens principle. Teoretičeskaâ i matematičeskaâ fizika, Tome 98 (1994) no. 3, pp. 524-535. http://geodesic.mathdoc.fr/item/TMF_1994_98_3_a19/