A time-dependent approach is applied to the resonant-tunneling problem. The time dependence of the accumulated charge and the tunneling current are calculated. Special attention is given to the effect of inelastic scattering on the resonant-tunneling process. The coherent and incoherent contributions to the total current are found, and are shown to modify it, sometimes in an unexpected manner.
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Bar-Joseph et al. (1991) studied this question.