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经典动力学的Hamiltonian表述和外微分形式表述的几组等价关系
引用本文:魏庆华. 经典动力学的Hamiltonian表述和外微分形式表述的几组等价关系[J]. 重庆工商大学学报(自然科学版), 1993, 0(3)
作者姓名:魏庆华
作者单位:渝州大学物理系
摘    要:
近年来用外微分形式来表述,推导物理定律和公式,已逐渐流行,它几乎可应用于大多数物理领域,本文以动力学中的正则方程,守恒定律,正则变换为例给出它在经典力学中的应用。

关 键 词:外微分  Lie 导数  正则变换

The Equivalence of Hamiltonian Version and the Exterion Differential Version of the Dynamical System
Wei Qinghua. The Equivalence of Hamiltonian Version and the Exterion Differential Version of the Dynamical System[J]. Journal of Chongqing Technology and Business University:Natural Science Edition, 1993, 0(3)
Authors:Wei Qinghua
Affiliation:Wei Qinghua
Abstract:
During the past years it has been popular that physical laws were given in terms of exterion differential forms.It can be used for the most field of physics.Taking hamiltonian equations,conservative law and ca- nonical transformation as examples in the paper,the author proved that hamiltonian version and exterior differential version are equivalent.
Keywords:exterior differential  canonical transformation  Lie differential
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