Moment Method for Eigenvalues and Expectation Values
Moment Method for Eigenvalues and Expectation Values
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特征值和期望值的矩量法
DOI：
10.1103/physrevd.21.1055
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发表时间：
1980
影响因子：
5
通讯作者：
R. Sugar
中科院分区：
文献类型：
--
作者：
R. Blankenbecler;T. DeGrand;R. Sugar
我们提出了一种简单的技术，用于精确计算量子系统的本征值，其势能在坐标系中是一个多项式。该方法涉及到的确切的本征态和一个方便地选择的基态之间的坐标算子的权力的矩阵元素之间的递归关系的研究。一般理论的发展和应用到三个例子：四次振子，八次振子，和两个耦合的四次振子。给出了数值结果。
We present a simple technique for performing accurate calculations of the eigenvalues of quantum systems whose potential energy is a polynomial in the coordinates. The method involves the study of recursion relations between matrix elements of powers of the coordinate operator between the exact eigenstate and a conveniently chosen basis state. The general theory is developed and applied to three examples: the quartic oscillator, the octic oscillator, and two coupled quartic oscillators. Numerical results are given.