约束Hamilton系统的Poincaré-Cartan不变量

Poincaré-Cartan Invariant for Constrained Hamiltonian System

从正则形式作用量出发,导出了约束Hamilton系统(奇异拉氏量)的Poincaré-Cartan不变量,证明了该不变量与约束Hamilton系统的正则方程之间的等价性,纠正了某些作者工作中的错误。

Starting the canonical action we deduce the Poincaré-Cartan invariant for constrained Hamiltonian system(with singular Lagrangian) and proof that this invariant is equivalent to the canonical equations of constrained Hamiltonian system. Some confusion in the literature were corrected.