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We study the dynamics of the classical and quantum mechanical scattering of awave packet from an oscillating barrier. Our main focus is on the dependence ofthe transmission coefficient on the initial energy of the wave packet for awide range of oscillation frequencies. The behavior of the quantum transmissioncoefficient is affected by tunneling phenomena, resonances and kinematiceffects emanating from the time dependence of the potential. We show that whenkinematic effects dominate (mainly in intermediate frequencies), classicalmechanics provides very good approximation of quantum results. Moreover, in thefrequency region of optimal agreement between classical and quantumtransmission coefficient, the transmission threshold, i.e. the energy abovewhich the transmission coefficient becomes larger than a specific smallthreshold value, is found to exhibit a minimum. We also consider the form ofthe transmitted wave packet and we find that for low values of the frequencythe incoming classical and quantum wave packet can be split into a train ofwell separated coherent pulses, a phenomenon which can admit purely classicalkinematic interpretation.

Quantum versus Classical Dynamics in a driven barrier: the role of kinematic effects