THE LAX PAIR FOR C2-TYPE RUIJSENAARS-SCHNEIDER MODEL

doi:10.1088/1009-1963/10/6/316

Abstract

Abstract We study the C₂ Ruijsenaars-Schneider model with interaction potential of trigonometric type. The Lax pairs for the model with and without spectral parameters are constructed. Also given are the involutive Hamiltonians for the system. Taking a non-relativistic limit, we obtain the Lax pair of C₂ Calogero-Moser model.

Keywords: Lax pair Ruijsenaars-Schneider model

Received: 08 October 2000
Revised: 05 January 2001
Accepted manuscript online:

PACS:	02.10.Yn	(Matrix theory)
	02.10.Ud	(Linear algebra)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 19805006).

Cite this article:

Chen Kai (陈凯), Hou Bo-yu (侯伯宇), Yang Wen-li (杨文力) THE LAX PAIR FOR C₂-TYPE RUIJSENAARS-SCHNEIDER MODEL 2001 Chinese Physics 10 550

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THE LAX PAIR FOR C₂-TYPE RUIJSENAARS-SCHNEIDER MODEL