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Assume (Formula presented) A pair of subbands with energy separation (Formula presented) resembles subbands with a population inversion (Formula presented) as the quasi-Fermi level in the upper subband is higher, regardless of its absolute position, than in the lower state, which follows from (Formula presented) However, subbands spaced by more than the average transition energy, (Formula presented) contribute with a line shape corresponding to (Formula presented) Hence, inhomogeneous broadening does not average over the dispersive profile
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