Abstract
It is pointed out that the more exact treatment of the jz-conserving coupled states (R̂-helicity) approximation is quite closely related to the P̂-helicity method of Tamir and Shapiro, and the two methods lead to approximate equations identical in form. The difference in interpretation of the magnetic quantum numbers in the two methods is used to understand the accuracy of the crudest approximations obtained by neglecting the transformation from rotating to space-fixed coordinate frames. Further it is expected that the two approaches lead to similar results in the case where the exact diagonal elements of the l2 operator are retained and the correct transformations to non-helicity frames are used. Finally, the two methods should lead to identical results for integral cross sections and opacities.
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