论文标题
关于广义的等级法
On the Generalised Equipartition Law
论文作者
论文摘要
我们观察到，汉密尔顿系统的所谓广义式等法法实际上只有在特定的假设下有效 - 不幸的是，在某些教科书中省略了 - 在处理非线性系统时限制了其适用性。我们引入了一个新的与坐标的概括，该概括克服了该问题，并且可以应用于较大的功能集。讨论了一个简单的应用程序。
We observe that the so-called Generalised Equipartition Law for hamiltonian systems is actually valid only under specific hypotheses -- unfortunately omitted in some textbooks -- which limit its applicability when dealing with nonlinear systems. We introduce a new coordinate-independent generalisation which overcomes this problem, and moreover can be applied to a larger set of functions. A simple example of application is discussed.
