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Paper   IPM / P / 13888
School of Physics
  Title:   Time-dependent potential barriers and superarrivals
  Author(s): 
1.  H. Karami
2.  S.V. Mousavi
  Status:   Published
  Journal: Can. J. Phys.
  Vol.:  93
  Year:  2015
  Pages:   413
  Supported by:  IPM
  Abstract:
Scattering of a Gaussian wavepacket from rectangular potential barriers with increasing widths or heights is studied numerically. It is seen that during a certain time interval the time-evolving transmission probability increases compared to the corresponding unperturbed cases. In the literature this effect is known as superarrival in transmission probability. We present a trajectory-based explanation for this effect by using the concept of quantum potential energy and computing a selection of Bohmian trajectories. Relevant parameters in superarrivals are determined for the case that the barrier width increases linearly during the dispersion of the wavepacket. Nonlinear in time perturbation is also considered.

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