| Poincare‘—Cartan积分不变量的推广和Dirac猜想 |
| |
| 引用本文： | 李子平,唐太明.Poincare‘—Cartan积分不变量的推广和Dirac猜想[J].数学物理学报(A辑),1997,17(2):192-199. |
| |
| 作者姓名： | 李子平 唐太明 |
| |
| 作者单位： | 北京工业大学六系!北京，100022，新疆师范大学数学系!乌鲁木齐，830054 |
| |
| 基金项目： | 国家自然科学基金，北京市自然科学基金 |
| |
| 摘 要： | 该文将Poincare－Cartan积分不变量推广到显含时间的高阶微商奇异拉氏量系统，研究了该不变量与正则方程、正则变换之间的联系，讨论了广义Poincare－Cartan积分不变量与Dirac猜想的关系，以一个例子说明，对高阶微商奇异拉氏量系统，Dirac猜想是无效的．
|
| 关 键 词： | 高阶微商拉氏量 约束系统的Dirac理论 Poincare－Cartan积分不变量 |
A Generalization of the Poincare-Cartan Invarian and Dirac's Conjecture |
| |
| Li Ziping, Tang Taiming.A Generalization of the Poincare-Cartan Invarian and Dirac''s Conjecture[J].Acta Mathematica Scientia,1997,17(2):192-199. |
| |
| Authors: | Li Ziping Tang Taiming |
| |
| Abstract: | We generalize Poincar6-Cartan integral invariant to a system with a singular higher-order Lagrangian which depends on time t explicitly, this invariant connected with thecanonical equations and canonical transformation for the generalized constrained Hamiltoniansystem is studied. The connection between this invariant and Dirac's conjecture is discussed.An example shows that Dirac's conjecture fails for a system with a singular higher-order LagranJian. |
| |
| Keywords: | higher-order derivative Lagrangian Dirac'S theory of constrained system Poincare-Cartan integral invariant |
| 本文献已被 CNKI 维普 等数据库收录！ |
