The Hamiltonian Form of Field Dynamics
The Hamiltonian Form of Field Dynamics
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场动力学的哈密顿形式
DOI：
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发表时间：
1951
期刊：
影响因子：
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通讯作者：
P. Dirac
中科院分区：
文献类型：
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作者：
P. Dirac
在经典动力学中，人们通常认为，当人们解完运动方程后，就完成了所有值得做的事情。然而，随着量子力学的发现对一般动力学理论的进一步了解，人们开始相信情况并非如此。似乎还有一些工作要做，即把解分成族（每个族对应于一个满足哈密尔顿-雅可比方程的主函数）。从牛顿力学的观点来看，这个族没有任何重要性;但它是一个对应于量子理论中的一种运动状态的族，因此可以推测，这个族在自然界中具有某种深刻的意义，但还没有得到正确的理解。
In classical dynamics one has usually supposed that when one has solved the equations of motion one has done everything worth doing. However, with the further insight into general dynamical theory which has been provided by the discovery of quantum mechanics, one is lead to believe that this is not the case. It seems that there is some further work to be done, namely to group the solutions into families (each family corresponding to one principal function satisfying the Hamilton-Jacobi equation). The family does not have any importance from the point of view of Newtonian mechanics; but it is a family which corresponds to one state of motion in the quantum theory, so presumably the family has some deep significance in nature, not yet properly understood.