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Teoreticheskaya i Matematicheskaya Fizika, 1996, Volume 109, Number 1, Pages 28–33
DOI: https://doi.org/10.4213/tmf1208
(Mi tmf1208)
 

This article is cited in 10 scientific papers (total in 10 papers)

Additional integrals of the generalized quantum Calogero–Moser problem

O. A. Chalykh

M. V. Lomonosov Moscow State University
References:
Abstract: We consider quantum integrable Calogero–Moser problem and its generalizations connected with Coxeter groups. For special values of coupling constants this problem has additional integrals and it is algebraically integrable. We give an effective description of additional integrals of this quantum problem.
Received: 03.06.1996
English version:
Theoretical and Mathematical Physics, 1996, Volume 109, Issue 1, Pages 1269–1273
DOI: https://doi.org/10.1007/BF02069885
Bibliographic databases:
Language: Russian
Citation: O. A. Chalykh, “Additional integrals of the generalized quantum Calogero–Moser problem”, TMF, 109:1 (1996), 28–33; Theoret. and Math. Phys., 109:1 (1996), 1269–1273
Citation in format AMSBIB
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\by O.~A.~Chalykh
\paper Additional integrals of the generalized quantum Calogero--Moser problem
\jour TMF
\yr 1996
\vol 109
\issue 1
\pages 28--33
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\crossref{https://doi.org/10.4213/tmf1208}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1605501}
\zmath{https://zbmath.org/?q=an:0942.81009}
\transl
\jour Theoret. and Math. Phys.
\yr 1996
\vol 109
\issue 1
\pages 1269--1273
\crossref{https://doi.org/10.1007/BF02069885}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1996XH02300003}
Linking options:
  • https://www.mathnet.ru/eng/tmf1208
  • https://doi.org/10.4213/tmf1208
  • https://www.mathnet.ru/eng/tmf/v109/i1/p28
  • This publication is cited in the following 10 articles:
    1. Francisco Correa, Olaf Lechtenfeld, “Algebraic integrability of
      PT
      -deformed Calogero models”, J. Phys.: Conf. Ser., 2038:1 (2021), 012007  crossref
    2. Feigin M., Vrabec M., “Intertwining Operator For Ag(2) Calogero-Moser-Sutherland System”, J. Math. Phys., 60:7 (2019), 073503  crossref  isi
    3. Correa F., Lechtenfeld O., “the Tetrahexahedric Angular Calogero Model”, J. High Energy Phys., 2015, no. 10, 191  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
    4. Misha Feigin, Tigran Hakobyan, “On Dunkl angular momenta algebra”, J. High Energ. Phys., 2015:11 (2015)  crossref
    5. Francisco Correa, Olaf Lechtenfeld, Mikhail Plyushchay, “Nonlinear supersymmetry in the quantum Calogero model”, J. High Energ. Phys., 2014:4 (2014)  crossref
    6. Chalykh, O, “Algebro-geometric Schrodinger operators in many dimensions”, Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 366:1867 (2008), 947  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    7. Taniguchi, K, “On the symmetry of commuting differential operators with sinpularities along hyperplanes”, International Mathematics Research Notices, 2004, no. 36, 1845  crossref  mathscinet  zmath  isi
    8. A. P. Veselov, Calogero—Moser— Sutherland Models, 2000, 507  crossref
    9. Chalykh, OA, “Multidimensional integrable Schrodinger operators with matrix potential”, Journal of Mathematical Physics, 40:11 (1999), 5341  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    10. Chalykh, O, “New integrable generalizations of Calogero–Moser quantum problem”, Journal of Mathematical Physics, 39:2 (1998), 695  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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