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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 $E_7$

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)
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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 $E_7$ 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.
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 $E_7$”, TMF, 154:2 (2008), 283–293; Theoret. and Math. Phys., 154:2 (2008), 240–249
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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