中国物理B ›› 2007, Vol. 16 ›› Issue (10): 2845-2847.doi: 10.1088/1009-1963/16/10/003

• GENERAL • 上一篇    下一篇

Analytical mechanics methods for solving Whittaker equations

梅凤翔, 解加芳, 冮铁强   

  1. Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2006-12-08 修回日期:2006-12-15 出版日期:2007-10-08 发布日期:2007-10-08
  • 基金资助:
    Project supported by the National Natural Science Foundation (Grant No~10572021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No~20040007022).

Analytical mechanics methods for solving Whittaker equations

Mei Feng-Xiang(梅凤翔)†, Xie Jia-Fang(解加芳), and Gang Tie-Qiang(冮铁强)   

  1. Department of Mechanics, Faculty of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2006-12-08 Revised:2006-12-15 Online:2007-10-08 Published:2007-10-08
  • Supported by:
    Project supported by the National Natural Science Foundation (Grant No~10572021) and the Doctoral Program Foundation of Institution of Higher Education of China (Grant No~20040007022).

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摘要： The purpose of this paper is to study the solution of the celebrated Whittaker equations by using analytical mechanics methods, including the Lagrange--Noether method, Hamilton--Poisson method and potential integral method.

Abstract: The purpose of this paper is to study the solution of the celebrated Whittaker equations by using analytical mechanics methods, including the Lagrange--Noether method, Hamilton--Poisson method and potential integral method.

Key words: Whittaker equations, Lagrange--Noether method, Hamilton--Poisson method, potential integral method

中图分类号:  (General theory of classical mechanics of discrete systems)

  • 45.05.+x
02.30.Hq (Ordinary differential equations) 02.30.Jr (Partial differential equations)