用正则微扰理论和李变换法求经典一维四次方势模型的不变环面

确定的动力学对称代数的存在与否是人们最近所提出的判断给定的经典系统和量子系统是否可积的统一依据，这一结论的得以超收敛级数技术基础的。作为除标准谐振子这处的第一个体示例，详细地分析了一维含四次方势的经典模型。分别利用一般 则变换理论方法和超收敛级数技术求出了这一模型的哈顿量与角坐标无关的近似表达式。

The approximate expression of toru for one-dimensional quadric potential model

It has been demonstrated recently that the dynamical symmetry algebra is particularly suitable to characterize the integrability of both classical and quantum systems.An approximate expression of the Hamiltonian H(I) is obtained,which is independent on the angle variable,for one dimensional quadric potential model with the help of Kolmogorov superconvergent series.In order to show the advantage of this technique,the conventional canonical transformation and Deprit method are also used for the same purpose.