大学物理 ›› 2020, Vol. 39 ›› Issue (05): 1-3.doi: 10.16854 /j.cnki.1000-0712.190442

• 教学研究 •    下一篇

分析力学中加速度的去魅

张小兵   

  1. 南开大学物理学院,天津300071
  • 收稿日期:2017-05-16 修回日期:2018-12-20 出版日期:2020-05-20 发布日期:2020-05-17
  • 作者简介:张小兵( 1970—) ,男,河北南宫人,南开大学物理学院教授,博士,主要从事大学物理教学和中高能物理研究工作.

The disenchanted aacceleration in analytical mechanics

ZHANG Xiao-bing   

  1. College of Physics,Nankai University,Tianjin 300071,China
  • Received:2017-05-16 Revised:2018-12-20 Online:2020-05-20 Published:2020-05-17

摘要: 利用经典力学的拉格朗日方法,分别讨论了静平衡的条件和连续介质动力学.利用哈密顿方法,介绍了相空间中独

特的平衡点以及适用于统计力学的稳定系综分布.这些例子表明: 在分析力学的框架内,加速度概念已经去魅,所谓的“平衡

态”也具有不同于牛顿方法的实现方式.

关键词: 拉格朗日方法, 哈密顿方法, 广义加速度, 平衡态

Abstract: By using the Lagrangian approach to classical mechanics,we investigate the condition of static equilibrium

and the continuum dynamics,respectively. By using Hamiltonian approach,we introduce the distinct

point of equilibrium as well as the stable ensemble distribution,which makes sense in the scope of statistical mechanics,

in the phase space.The examples show that the concept of acceleration is disenchanted in the framework of

analytical mechanics.Also,the so-called“equilibrium states”are found to be realized by the different ways from

the case of Newtonian approach.

Key words: Lagrangian and Hamiltonian approaches, generalized acceleration, equilibrium state