Computational Methods in Atomic and Molecular Physics

这项研究的目标是(A)在小型系统上进行高精度的计算，以便与最近的高精度测量进行比较；(B)开发更好的计算方法，其中“更好”意味着以更小的计算机时间消耗更高的精度和可靠性。要考虑的具体问题包括(1)1/Z展开，(2)算子函数的对数和其他矩阵元，(3)强磁场中的氢，(4)多长度尺度问题的基函数，(5)锂原子的高精度计算，(6)福克展开的简化，(7)基函数中非线性参数的先验估计。

The objectives of this research are (A) highly accurate calculations on small systems for comparison with recent high precision measurements, and (B) the development of better computational methods, where "better" means greater accuracy and reliability with a smaller expenditure of computer time. Specific problems to be considered include (1) The 1/Z expansion, (2) Bethe logarithms and other matrix elements of functions of operators, (3) Hydrogen in strong magnetic fields, (4) Basis functions for problems with multiple length scales, (5) High precision calculations for lithium atoms, (6) Simplification of the Fock expansions, and (7) A priori estimates of non-linear parameters in basis functions.