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Teoreticheskaya i Matematicheskaya Fizika, 2008, Volume 154, Number 2, Pages 283–293
DOI: https://doi.org/10.4213/tmf6169 (Mi tmf6169) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero–Sutherland model related to the exceptional algebra E7

J. Fernández-Núñeza, W. Garcia Fuertesa, A. M. Perelomovb

a Universidad de Oviedo
b Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center)
Full-text PDF (384 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6169
Abstract: In a previous paper, we studied the characters and Clebsch–Gordan series for the exceptional Lie algebra E7 by relating them to the quantum trigonometric Calogero–Sutherland Hamiltonian with the coupling constant κ=1. We now extend that approach to the case of an arbitrary coupling constant.
Keywords: integrable system, Calogero–Sutherland model, exceptional Lie algebra, representation theory, orthogonal polynomials.
Received: 18.03.2007
Revised: 13.04.2007
English version:
Theoretical and Mathematical Physics, 2008, Volume 154, Issue 2, Pages 240–249
DOI: https://doi.org/10.1007/s11232-008-0023-x
Bibliographic databases:
Language: Russian
Citation: J. Fernández-Núñez, W. Garcia Fuertes, A. M. Perelomov, “Explicit computations of low-lying eigenfunctions for the quantum trigonometric Calogero–Sutherland model related to the exceptional algebra E7”, TMF, 154:2 (2008), 283–293; Theoret. and Math. Phys., 154:2 (2008), 240–249
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6169
  • https://doi.org/10.4213/tmf6169
  • https://www.mathnet.ru/eng/tmf/v154/i2/p283
    • This publication is cited in the following 2 articles:
    1. Fernandez Nunez J., Garcia Fuertes W., Perelomov A.M., “On An Approach For Computing the Generating Functions of the Characters of Simple Lie Algebras”, J. Phys. A-Math. Theor., 47:14 (2014), 145202  crossref  mathscinet  zmath  adsnasa  isi  scopus
    2. Núñez J.F., Fuertes W.G., Perelomov A.M., “The Hamiltonian of the quantum trigonometric Calogero-Sutherland model in the exceptional algebra E8”, J. Phys. A, 42:4 (2009), 045205, 12 pp.  crossref  zmath  adsnasa  isi  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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