Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (6): 569-576.

• 论文 • 上一篇    下一篇

GENERALIZED WHITTAKER EQUATIONS AND FIELD METHOD IN GENERALIZED CLASSICAL MECHANICS

梅凤翔   

  1. Beijing Institute of Technology, Beijing
  • 收稿日期:1989-05-08 出版日期:1990-06-18 发布日期:1990-06-18
  • 基金资助:
    The project Supported by National Natural Science Foundation of China

GENERALIZED WHITTAKER EQUATIONS AND FIELD METHOD IN GENERALIZED CLASSICAL MECHANICS

Mei Feng-xiang   

  1. Beijing Institute of Technology, Beijing
  • Received:1989-05-08 Online:1990-06-18 Published:1990-06-18
  • Supported by:
    The project Supported by National Natural Science Foundation of China

摘要: 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.

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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