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DIRAC族约束流的HAMILTON结构
引用本文:斯仁道尔吉.DIRAC族约束流的HAMILTON结构[J].内蒙古师范大学学报(自然科学版),2005,34(3):257-265,271.
作者姓名:斯仁道尔吉
作者单位:内蒙古师范大学,数学科学学院,内蒙古,呼和浩特,010022
基金项目:Project Supported by the Natural Science Foundation of China (10461006), the Natural Science Foundation (200408020103) and the High Education Science Research Program(NJ02035) of Inner Mongolia.
摘    要:利用对称约束建立了Dirac族前4个非正则约束流的Hamilton结构,其中第2和第4个约束流在修正的Jacobi-Ostrogradsky坐标下变换到Hamilton系统,尽管第3个约束流也是非正则的,但它在标准的Jacobi—Ostrogradsky坐标下变换到了Hamilton系统。

关 键 词:Hamilton结构  非正则约束流  修正的Jacobi-Ostrogradsky坐标
文章编号:1001-8735(2005)03-0257-09
收稿时间:2005-03-12
修稿时间:2005-03-12

Hamiltonian Structures for the Constrained Flows of the Dirac Hierarchy
Si RenDaoErJi.Hamiltonian Structures for the Constrained Flows of the Dirac Hierarchy[J].Journal of Inner Mongolia Normal University(Natural Science Edition),2005,34(3):257-265,271.
Authors:Si RenDaoErJi
Abstract:The Hamiltonian structures for the first four non-regular constrained flows of the Dirac hierarchy are constructed by imposing symmetry constraints. Among them. the second and the fourth constrained flows are transformed into the Hamiltonian systems in the modified Jacobi-Ostrogradsky coordinates. Even though the third constrained flow is non-regular, it is transformed to a Hamiltonian system in the standard Jacobi-Ostrogradsky coordinates.
Keywords:Hamiltonian structure  non-regular constrained flow  modified Jacobi-Ostrogradsky coordinates
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