Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

Kazuhiro Hikami, Yasushi Komori

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Abstract

We study the elliptic Ruijsenaars model of type-BC, which is a difference analogue of the BC-type Calogero-Sutherland-Moser model with an elliptic pairwise potential. In the trigonometric limit, the difference operator of this model reduces to the Macdonald-Koornwinder operator by a gauge-transformation. We show that our difference operator acts on a finite-dimensional space of functions in a special case of the coupling constant.

Original languageEnglish
Pages (from-to)4037-4044
Number of pages8
Journaljournal of the physical society of japan
Volume67
Issue number12
DOIs
Publication statusPublished - Jan 1 1998
Externally publishedYes

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All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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