| 关于直接构造化零正则变换的一般方法 |
| |
| 引用本文： | 赵世鹰.关于直接构造化零正则变换的一般方法[J].同济大学学报(自然科学版),1986(1). |
| |
| 作者姓名： | 赵世鹰 |
| |
| 作者单位： | 同济大学工程力学系 |
| |
| 摘 要： | 本文根据Darbourx定理的一种构造性的证明指出一条寻找化零正则变换的一般途径.与Hamilton-Jacobi方法不同,它把求解Hamilton正则方程的问题归结于求解一串相继生成的偏微分方程组的持解。
|
| 关 键 词： | 质点系动力学 外微分形式 |
On the Method of Directly Constructing Canonical Transformations with Constant Transformed Hamiltonians |
| |
| Zhao Shiying.On the Method of Directly Constructing Canonical Transformations with Constant Transformed Hamiltonians[J].Journal of Tongji University(Natural Science),1986(1). |
| |
| Authors: | Zhao Shiying |
| |
| Institution: | Department of Engineering Mechanics |
| |
| Abstract: | In terms of a constructive proof of Darbourx theorem, a general method to seek canonical transformations with constant transformed Hamiltonians is provided. To contrast with Hamilton Jacobi method, this method reduces the problem of solving Hamilton's canonical equations to that of finding special solutions of successively generated sets of partial differential equations. |
| |
| Keywords: | Dynamics of particle systems Exterior differential forms |
| 本文献已被 CNKI 等数据库收录！ |
