On the consistency of Rabi frequency calculations
On the consistency of Rabi frequency calculations
复制标题
关于拉比频率计算的一致性
DOI：
10.1088/0305-4470/28/1/023
复制
发表时间：
1995
期刊：
影响因子：
--
通讯作者：
W. Macgillivray
中科院分区：
文献类型：
--
作者：
P. Farrell;W. Macgillivray
详细描述了计算原子跃迁的拉比频率的三种方法。这些方法是使用标准角动量耦合公式进行状态展开，应用复合系统的约化公式，以及应用Condon和Shortley的矢量算符的约化方程。结果表明，这三种方法都是等价的，这与以前报道的在该阶段获得一致性的困难形成对比。每种方法都是通过计算n2s1/2-n‘2q3/2流形中每个超精细跃迁的Rabi频率来说明的。讨论了在算符分量矩阵元素中量子数排序的一致性的重要性。
Three methods of calculating the on-resonance Rabi frequency for an atomic transition are described in detail. These methods are the use of standard angular momentum coupling formula for state expansion the application of the reduction formula for composite systems; and the application of reduction equations for vector operators from Condon and Shortley. It is shown that all three methods are equivalent, in contrast with previously reported difficulties in obtaining consistency in the phase. Each method is illustrated by calculating the Rabi frequencies for each hyperfine transition in a n2S1/2-n'2q3/2 manifold. The importance of consistency in the ordering of the quantum numbers in matrix elements of operator components is discussed.