Two unified formulae

被引:21
作者
Guo, Fukui [1 ]
Zhang, Yufeng [1 ]
机构
[1] Shandong Univ Sci & Technol, Informat Sch, Qingdao Huangdao 266510, Peoples R China
关键词
trace identity; quadratic-form identity; tri-trace identity; Hamiltonian structure;
D O I
10.1016/j.physleta.2007.02.062
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The trace identity, the quadratic-form identity and the tri-trace identity, which all contain the constant gamma, are all simple and powerful tools for producing Hamiltonian structure. The first formula obtained in the Letter is a unified expression of the above three formulas. Its role is to open an approach for setting up similar formulas in other mathematical or physical applications. The second formula given in the Letter is a unified computational one on the constant gamma which appears in the above three formulae. This succeeds in overcoming the problem on the computing the constant gamma, proposed by Tu Guizhang and left open for long time. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:403 / 410
页数:8
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