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Transport and scattering phenomena in open quantum-systems with a continuousenergy spectrum are conveniently solved using the time-dependent Schrodingerequation. In the time-dependent picture, the evolution of an initiallylocalized wave-packet reveals the eigenstates and eigenvalues of the systemunder consideration. We discuss applications of the wave-packet method inatomic, molecular, and mesoscopic systems and point out specific advantages ofthe time-dependent approach. In connection with the familiar initial valueformulation of classical mechanics, an intuitive interpretation of transportemerges. For interacting many-particle systems, we discuss the efficientcalculation of the self-consistent classical transport in the presence of amagnetic field.

Time-dependent approach to transport and scattering in atomic and mesoscopic physics