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TMF, 1994, Volume 98, Number 3, Pages 524–535 (Mi tmf1560)  

This article is cited in 5 scientific papers (total in 6 papers)

Calogero quantum problem, Knizhnik–Zamolodchikov equation and Huygens principle

A. P. Veselov


Abstract: 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.

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English version:
Theoretical and Mathematical Physics, 1994, 98:3, 368–376

Bibliographic databases:


Citation: A. P. Veselov, “Calogero quantum problem, Knizhnik–Zamolodchikov equation and Huygens principle”, TMF, 98:3 (1994), 524–535; Theoret. and Math. Phys., 98:3 (1994), 368–376

Citation in format AMSBIB
\Bibitem{Ves94}
\by A.~P.~Veselov
\paper Calogero quantum problem, Knizhnik--Zamolodchikov equation and Huygens principle
\jour TMF
\yr 1994
\vol 98
\issue 3
\pages 524--535
\mathnet{http://mi.mathnet.ru/tmf1560}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1304748}
\zmath{https://zbmath.org/?q=an:0833.35118}
\transl
\jour Theoret. and Math. Phys.
\yr 1994
\vol 98
\issue 3
\pages 368--376
\crossref{https://doi.org/10.1007/BF01102214}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1994PQ98700018}


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  • http://mi.mathnet.ru/eng/tmf/v98/i3/p524

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. M. Buchstaber, A. P. Veselov, “Dunkl operators, functional equations, and transformations of elliptic genera”, Russian Math. Surveys, 49:2 (1994), 145–147  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. Yu. Yu. Berest, A. P. Veselov, “Huygens' principle and integrability”, Russian Math. Surveys, 49:6 (1994), 5–77  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    3. V. A. Golubeva, V. P. Leksin, “On reconstruction of Veselov–Felder formula in the theory of Calogero–Sutherland operators”, Theoret. and Math. Phys., 106:1 (1996), 50–60  mathnet  crossref  crossref  mathscinet  zmath  isi
    4. K. M. Bulycheva, A. S. Gorsky, “Limit cycles in renormalization group dynamics”, Phys. Usp., 57:2 (2014), 171–182  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    5. K. R. Zabirova, V. V. Napalkov, “Composition Operators of Convolution and Multiplication by a Function”, Math. Notes, 99:3 (2016), 368–377  mathnet  crossref  crossref  mathscinet  isi  elib
    6. V. E. Adler, Yu. Yu. Berest, V. M. Buchstaber, P. G. Grinevich, B. A. Dubrovin, I. M. Krichever, S. P. Novikov, A. N. Sergeev, M. V. Feigin, J. Felder, E. V. Ferapontov, O. A. Chalykh, P. I. Etingof, “Alexander Petrovich Veselov (on his 60th birthday)”, Russian Math. Surveys, 71:6 (2016), 1159–1176  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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