Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

Kazuhiro Hikami; Yasushi Komori

doi:10.1143/JPSJ.67.4037

Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

Kazuhiro Hikami, Yasushi Komori

研究成果: Contribution to journal › Article › 査読

2 被引用数 (Scopus)

抄録

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.

本文言語	英語
ページ（範囲）	4037-4044
ページ数	8
ジャーナル	journal of the physical society of japan
巻	67
号	12
DOI	https://doi.org/10.1143/JPSJ.67.4037
出版ステータス	出版済み - 1 1 1998
外部発表	はい

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

文献へのアクセス

10.1143/JPSJ.67.4037

他のファイルとリンク

フィンガープリント「Diagonalization of the Elliptic Ruijsenaars Model of Type-BC」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル

@article{be29c8a3d71a4fbba8f0283cef61feeb,

title = "Diagonalization of the Elliptic Ruijsenaars Model of Type-BC",

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.",

author = "Kazuhiro Hikami and Yasushi Komori",

year = "1998",

month = jan,

day = "1",

doi = "10.1143/JPSJ.67.4037",

language = "English",

volume = "67",

pages = "4037--4044",

journal = "Journal of the Physical Society of Japan",

issn = "0031-9015",

publisher = "Physical Society of Japan",

number = "12",

}

TY - JOUR

T1 - Diagonalization of the Elliptic Ruijsenaars Model of Type-BC

AU - Hikami, Kazuhiro

AU - Komori, Yasushi

PY - 1998/1/1

Y1 - 1998/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0032260952&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032260952&partnerID=8YFLogxK

U2 - 10.1143/JPSJ.67.4037

DO - 10.1143/JPSJ.67.4037

M3 - Article

AN - SCOPUS:0032260952

VL - 67

SP - 4037

EP - 4044

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 12

ER -