相对论力学的广义守恒律

Generalized Conservation Law of Relativistic Mechanics

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。

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.