中国物理B ›› 2006, Vol. 15 ›› Issue (10): 2193-2196.doi: 10.1088/1009-1963/15/10/001

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Three-order pseudo-Hamilton canonical equations

马善钧, 黄沛天, 颜　蓉, 赵红霞   

  1. College of Physics and Communication Electronics, Jiangxi Normal University,Nanchang 330027, China
  • 收稿日期:2005-09-02 修回日期:2006-05-23 出版日期:2006-10-20 发布日期:2006-10-20

Three-order pseudo-Hamilton canonical equations

Ma Shan-Jun(马善钧)†, Huang Pei-Tian(黄沛天), Yan Rong(颜蓉), and Zhao Hong-Xia(赵红霞)   

  1. College of Physics and Communication Electronics, Jiangxi Normal University,Nanchang 330027, China
  • Received:2005-09-02 Revised:2006-05-23 Online:2006-10-20 Published:2006-10-20

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摘要： Based on the three-order Lagrangian equations, Hamilton's function of acceleration $H^\ast$  and generalized acceleration momentum P_\alpha ^\ast are defined, and pseudo-Hamilton canonical equations corresponding to three-order Lagrangian equations are obtained. The equations are similar to Hamilton's canonical equations of analytical mechanics in form.

关键词: three-order Lagrangian equations, pseudo-Hamilton canonical equations, time rate of change of force

Abstract: Based on the three-order Lagrangian equations, Hamilton's function of acceleration $H^\ast$  and generalized acceleration momentum $P_\alpha ^\ast$ are defined, and pseudo-Hamilton canonical equations corresponding to three-order Lagrangian equations are obtained. The equations are similar to Hamilton's canonical equations of analytical mechanics in form.

Key words: three-order Lagrangian equations, pseudo-Hamilton canonical equations, time rate of change of force

中图分类号:  (Lagrangian and Hamiltonian mechanics)

  • 45.20.Jj