Acceleration-dependent Lagrangians in classical mechanics

作者：Ding Guang Tao^*

来源：Acta Physica Sinica, 2009, 58(6): 3620-3624.

• Lagrange's equations
• acceleration-dependent Lagrangians
• generalized mechanics
• gauge transformations of Lagrangians

The linear acceleration-dependent Lagrangians are studied. Under the symmetric conditions of coefficients in acceleration terms, the Lagrange's equations remain second-order differential equations. The approach to constructing an acceleration-dependent Lagrangian from its equations of motion is presented. The relations between the acceleration-dependent Lagrangians and the acceleration independent ones of the same system are studied. Two examples are given to illustrate the application of the results.

• 出版日期2009-6
• 单位安徽师范大学