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A theory of optical transitions from a valence state to the conduction band taking into account the dynamical response of the Fermi sea is given using the functional-integral method. The method yields an approximation for the effects of the finite hole mass and finite temperature on the Mahan edge singularities. Magneto-optical spectra are calculated for n-doped quantum wells, which explain the range of observed behavior corresponding to finite-to-infinite hole mass at various temperatures.
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Uenoyama et al. (1990) studied this question.
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