相对论性非完整系统的Lagrange对称性与守恒量

摘要

本文研究相对论性非完整系统的Lagrange对称性，给出相对论性非完整系统Lagrange 对称性的判据，得到相对论性非完整系统Lagrange对称性导致的守恒量及其存在条件，最后举例说明结果的应用。%In this paper,we are study the symmetry of Lagrangians and the conserved quantities for a nonholo-nomic relativistic system.The Criterion of the symmetry for a nonholonomic relativistic system is given.Then the conditions under which there exist a conserved quantity and the form of the conserved quantity are obtained.And finally there is an example to illustrate the application of the results.