Two perturbation methods are compared for the theories of the cyclotron resonance line shape for electron-phonon systems. The line-shape functions in schemes designated as ``moderately weak coupling'' and ``extremely weak coupling'' by Choi and Chung are obtained using Mori's method of calculation. The results agree exactly with the functions Choi and Chung derived using Argyres and Sigel's projection technique.
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Ryu et al. (1985) studied this question.
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