Theoretical and Mathematical Physics

, Volume 98, Issue 3, pp 368–376 | Cite as

Calogero quantum problem, Knizhnik-Zamolodchikov equation, and Huygens principle

  • A. P. Veselov


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 an arbitrary Coxeter group and the applications to the Hadamard problem about the hyperbolic equations with the Huygens principle are discussed.


Huygens Hyperbolic Equation Basic Tool Coxeter Group Dunkl Operator 
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© Plenum Publishing Corporation 1994

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  • A. P. Veselov

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