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Scattering by a reflectionless modified Pöschl-Teller potential: Bohmian trajectories and arrival times

A nonreflecting wavepacket is constructed by the superposition of reflectionless eigenstates of sech2 potential. Free propagation and propagation in the presence of the above potential of such a wavepacket is considered using the concept of arrival time. Comparison is made with the free evolving Gaussian wavepacket. Mean arrival time at a detector behind the well is given as a function of mass for separate cases. A selection of Bohmian trajectories in the interacting case are computed and compared to the trajectories of a free particle guided by a Gaussian packet.

preprint2015arXivOpen access
S. V. Mousavi
quant-ph
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S. V. Mousavi

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