广义协变Hamilton系统的退化条件  

Degenerated conditions of generalized covariant Hamilton systems

作　　者：王根 WANG Gen(School of Mathematical Sciences,Xiamen University, Xiamen 361005,China)

机构地区：[1]厦门大学数学科学学院,福建厦门361005

出　　处：《南阳师范学院学报》2022年第4期18-20,共3页Journal of Nanyang Normal University

摘　　要：考虑了广义结构Poisson括号退化为广义Poisson括号的充分必要条件,并应用到广义协变Hamilton系统上,证明了广义Leibniz恒等式满足在广义结构Poisson括号下的Leibniz恒等式当且仅当几何标量势函数是Casimir函数,并列举了一个例子.The necessary and sufficient conditions for the generalized structure Poisson bracket to degenerate into the generalized Poisson bracket are considered and applied to the generalized covariant Hamilton system.It is proved that the generalized Leibniz identity satisfies the Leibniz identity under the generalized structure Poisson bracket if and only if the geometric scalar potential function is a Casimir function,and an example is given.

关 键 词：广义HAMILTON系统 广义结构Poisson括号 广义协变Hamilton系统 CASIMIR函数 Leibniz恒等式 

分 类 号：O174.5[理学—数学]