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The author proposes a family of the function sechn(t/n) for an approximate description of the phase damping process in solids, where its Fourier transform gives a line shape function. The quantity n characterises the deviation from the Markovian nature of the damping. When n = 1, the line shape function is sech-form with exponential wings.
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Petr G. Eliseev (1997) studied this question.
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