关于经典力学中守恒量的推导
On the Derivation of Conserved Quantities in Classical Mechanics
摘要:
本文利用偏微分方程的一个定理,给出了一种导出经典点机械系统的守恒量的一般方法,用它的哈密顿量表示。最后给出了一些简单的算例来验证该公式的有效性。
英文摘要:
Using a theorem of partial differential equations, we present a general way of deriving the conserved quantities associated with a given classical point mechanical system, denoted by its Hamiltonian. Some simple examples are given to demonstrate the validity of the formulation.
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