生成Hamilton系统第一积分的一种方法

A Method for Generate First Integral of Hamilton System

利用计算机代数系统Mathematica,通过大量的计算找到了和Poisson括号有关的新的关系式,并证明了这新的关系式在一定条件下能产生第一积分,有时它产生的是"内旋组"外的函数独立的第一积分,同时也证明了它能构成李代数.

Through largely mechanical calculation by Mathematica,a new mathematical relationship is found out,which is similar to Poisson bracket:under some conditions, it can produce first integral, which is sometimes not in 'spin system'.It is proved that it can be Lie Algebra .