English

Scattering by a reflectionless modified P\"oschl-Teller potential: Bohmian trajectories and arrival times

Quantum Physics 2015-07-14 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1507.03341,
  title  = {Scattering by a reflectionless modified P\"oschl-Teller potential: Bohmian trajectories and arrival times},
  author = {S. V. Mousavi},
  journal= {arXiv preprint arXiv:1507.03341},
  year   = {2015}
}

Comments

Accepted by Physica Scripta

R2 v1 2026-06-22T10:10:31.322Z