The factorization method
The factorization method
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DOI：
10.1103/revmodphys.23.21
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发表时间：
1951
影响因子：
44.1
通讯作者：
L. Infeld;T. E. Hull
中科院分区：
文献类型：
--
作者：
L. Infeld;T. E. Hull
因式分解方法是一种操作程序，它使我们能够直接回答对物理学家来说很重要的特征值问题。基本思想是考虑一对一阶微分方程，它们等价于给定的具有边界条件的二阶微分方程。对于一大类此类微分方程，该方法使我们能够立即找到特征值和归一化特征函数的制造过程。这些结果只需查阅六种可能的因式分解类型的表格即可获得。
The factorization method is an operational procedure which enables us to answer, in a direct manner, questions about eigenvalue problems which are of importance to physicists. The underlying idea is to consider a pair of first-order differential-difference equations which are equivalent to a given second-order differential equation with boundary conditions. For a large class of such differential equations the method enables us to find immediately the eigenvalues and a manufacturing process for the normalized eigenfunctions. These results are obtained merely by consulting a table of the six possible factorization types.