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TMF, 2008, Volume 154, Number 2, Pages 283–293 (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 $E_7$

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)

Abstract: In a previous paper, we studied the characters and Clebsch–Gordan series for the exceptional Lie algebra $E_7$ by relating them to the quantum trigonometric Calogero–Sutherland Hamiltonian with the coupling constant $\kappa=1$. 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

DOI: https://doi.org/10.4213/tmf6169

Full text: PDF file (384 kB)
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English version:
Theoretical and Mathematical Physics, 2008, 154:2, 240–249

Bibliographic databases:

Received: 18.03.2007
Revised: 13.04.2007

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 $E_7$”, TMF, 154:2 (2008), 283–293; Theoret. and Math. Phys., 154:2 (2008), 240–249

Citation in format AMSBIB
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\paper Explicit computations of low-lying eigenfunctions for the~quantum
trigonometric Calogero--Sutherland model related to the~exceptional algebra
$E_7$
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Núñez J.F., Fuertes W.G., Perelomov A.M., “The Hamiltonian of the quantum trigonometric Calogero-Sutherland model in the exceptional algebra $E_8$”, J. Phys. A, 42:4 (2009), 045205, 12 pp.  crossref  zmath  adsnasa  isi  scopus
    2. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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