广义经典力学中的广义WHITTAKER方程和场方法

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基金项目: 国家自然科学基金助课题

Generalized Whittaker Equations and Field Method in Generalized Classical Mechanics

摘要: 本文首先利用能量积分降阶广义经典力学的正则方程并得到广义Whittaker方程.其次,将场方法应用于求广义经典力学方程的积分.最后,举例说明新方程和新方法的应用.

Abstract: This paper presents the energy integral in generalized classical mechanics. The integral enables us to reduce a given canonical system with 2n order to another system with only (2n-2) order and to obtain generalized Whittaker equations. And then, this paper extends a field method integrating the equations of motion for classical mechanics to generalized dassical mechanics. Finally, this paper gives an example to illustrate the application of these equations and the field method.

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