Foundations of Physics

, Volume 12, Issue 1, pp 27–48

A quantum potential description of one-dimensional time-dependent scattering from square barriers and square wells


  • C. Dewdney
    • Department of Physics, Birkbeck CollegeUniversity of London
  • B. J. Hiley
    • Department of Physics, Birkbeck CollegeUniversity of London

DOI: 10.1007/BF00726873

Cite this article as:
Dewdney, C. & Hiley, B.J. Found Phys (1982) 12: 27. doi:10.1007/BF00726873


The time-dependent scattering of one-dimensional Gaussian wave packets of various energies incident on(1) a square potential barrier and(2) a square well is examined numerically, using the quantum potential introduced by Bohm. The time-dependent quantum potential is calculated in each case, and the results displayed on three-dimensional computer plots. The particle trajectories from different initial positions within the wave packet are also shown, giving a detailed description of reflection and tunneling in terms of individual processes. The wider implications of this analysis are also briefly considered.

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© Plenum Publishing Corporation 1982