论文标题
来自哈密顿的数值进化
Numerical Evolution from the Hamiltonian
论文作者
论文摘要
我们提出了一种数值方法，用于近似于仅在系统的哈密顿功能和初始条件下，点粒子系统的时间演变。该方法同时生成并求解运动方程。出于演示目的，描述了用Python编写的工作实施，并将其应用于标准问题。该方法可能具有一些教学优点，但是产生运动方程的数值努力使其不适合任何“真实”问题的实际数值解决方案，但仅几个自由度。
We propose a numerical method for approximate calculations of the time evolution of point particle systems given only the system's Hamiltonian function and initial conditions. The method both generates and solves the equations of motion numerically. For demonstration purposes, a working implementation written in Python is described and applied to standard problems. The method may have some pedagogical merits but the numerical effort of generating the equations of motion makes it unsuitable for actual numerical solution of "real" problems with any but just a few degrees of freedom.
