位形空间中二体T矩阵的计算
Calculation of the Two-body T-matrix in Configuration Space
摘要：
本文将位形空间中求解二体薛定谔方程的谱积分方法推广到相应的T矩阵的计算。据发现，理想的功能的IEM，如经济的网格点为一个给定的所需的精度，也结转到T矩阵的解决方案。然而，该算法相当复杂，因为T矩阵是两个变量r和r '的函数，而不是只有一个变量r，并且在r= r'处具有斜率不连续性。对于一个简单的指数势的7个有效数字的精度是实现的，在每个分区中的切比雪夫支持点的数量N等于17。对于具有大排斥核的势，例如两个He原子之间的势，精度降低到4位有效数字，但当N增加到65时，精度恢复到7位。
英文摘要：
A spectral integral method (IEM) for solving the two-body Schroedinger equation in configuration space is generalized to the calculation of the corresponding T-matrix. It is found that the desirable features of the IEM, such as the economy of mesh-points for a given required accuracy, are carried over also to the solution of the T-matrix. However the algorithm is considerably more complex, because the T-matrix is a function of two variables r and r', rather than only one variable r, and has a slope discontinuity at r=r'. For a simple exponential potential an accuracy of 7 significant figures is achieved, with the number N of Chebyshev support points in each partition equal to 17. For a potential with a large repulsive core, such as the potential between two He atoms, the accuracy decreases to 4 significant figures, but is restored to 7 if N is increased to 65.
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