论文标题
量子汉密尔顿雅各比方程以及古典和量子力学之间的联系
The quantum Hamilton Jacobi equation and the link between classical and quantum mechanics
论文作者
论文摘要
我们研究了汉密尔顿汉密尔顿 - 雅各比方程的解决方案的解决方案的主要和特征功能是如何产生的。尽管在经典的禁区中，这些量子数量直接趋向于经典区域，但在允许区域中并非如此。在那里，只有在通过粗粒平均值消除量子波动时才能达到极限。类似地，带来运动方程式的经典汉密尔顿 - 雅各比方案是由类似的形式量子程序引起的。
We study how the classical Hamilton's principal and characteristic functions are generated from the solutions of the quantum Hamilton-Jacobi equation. While in the classically forbidden regions these quantum quantities directly tend to the classical ones, this is not the case in the allowed regions. There, the limit is reached only if the quantum fluctuations are eliminated by means of coarse-graining averages. Analogously, the classical Hamilton-Jacobi scheme bringing to the motion's equations arises from a similar formal quantum procedure.
