中国物理B ›› 2001, Vol. 10 ›› Issue (6): 550-554.doi: 10.1088/1009-1963/10/6/316

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THE LAX PAIR FOR C2-TYPE RUIJSENAARS-SCHNEIDER MODEL

陈凯, 侯伯宇, 杨文力   

  1. Institute of Modern Physics, Northwest University, Xi'an 710069, China
  • 收稿日期:2000-10-08 修回日期:2001-01-05 出版日期:2001-06-15 发布日期:2005-06-12
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 19805006).

THE LAX PAIR FOR C2-TYPE RUIJSENAARS-SCHNEIDER MODEL

Chen Kai (陈凯), Hou Bo-yu (侯伯宇), Yang Wen-li (杨文力)   

  1. Institute of Modern Physics, Northwest University, Xi'an 710069, China
  • Received:2000-10-08 Revised:2001-01-05 Online:2001-06-15 Published:2005-06-12
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 19805006).

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摘要： 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.

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.

Key words: Lax pair, Ruijsenaars-Schneider model

中图分类号:  (Matrix theory)

  • 02.10.Yn
02.10.Ud (Linear algebra)