带电试验粒子运动的规范不变哈密顿描述
A Gauge-invariant Hamiltonian Description of the Motion of Charged Test Particles
摘要：
新的，规范独立的，二阶拉格朗日的经典，带电的测试粒子的运动被用来推导相应的哈密顿公式。为此目的，哈密顿描述的理论来自二阶拉格朗日。与标准方法不同的是，这里产生的正则动量是明确的规范不变的，并且有明确的物理解释。约化辛形式等价于Souriau形式。这种方法说明了一种新的方法推导运动方程的场方程。
英文摘要：
New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is used to derive the corresponding Hamiltonian formulation. For this purpose a Hamiltonian description of the theories derived from the second-order Lagrangian is presented. Unlike in the standard approach, the canonical momenta arising here are explicitely gauge-invariant and have a clear physical intepretation. The reduced symplectic form is equaivalent to the Souriau's form. This approach illustrates a new method of deriving equations of motion from field equations.
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