| 相对论力学的广义守恒律 |
| |
| 引用本文： | 罗绍凯. 相对论力学的广义守恒律[J]. 信阳师范学院学报(自然科学版), 1991, 4(4): 57-64 |
| |
| 作者姓名： | 罗绍凯 |
| |
| 作者单位： | Shangqiu Teacher's College，Henan，China |
| |
| 基金项目： | 河南省教委科研基金重点资助课题 |
| |
| 摘 要： | 在速度空间中建立了相对论性Jourdain型变分原理,提出并证明了非线性非完整非有势系统的相对论性广义Noether定理,给出了非线性非完整系统的相对论性广义能量积分和循环积分。经典力学的各种Noether定理和守恒律均是本文结果的特款。
|
| 关 键 词： | 相对论 分析力学 广义守恒律 |
Generalized Conservation Law of Relativistic Mechanics |
| |
| Luo Shaokai. Generalized Conservation Law of Relativistic Mechanics[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1991, 4(4): 57-64 |
| |
| Authors: | Luo Shaokai |
| |
| Abstract: | The relativistic Jourdain's variational principles in velocity space were established, the relativistic generalished Noether's theorm of nonlinear nonholonomic nonpotentlal system were prestented and proved, and relativistic generalized integral and cyclic integral of nonlinear nonholonomic system were obtained. All Noether's theorms and conservation laws of classical mechanics are special cases of this paper. |
| |
| Keywords: | reativity analytical mechanics Noether's theorm generalized conservation law nonisochronic variation nonholonomic constraints. |
| 本文献已被 CNKI 维普 等数据库收录！ |
