Foundations of Physics

, Volume 12, Issue 1, pp 27–48 | Cite as

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

  • C. Dewdney
  • B. J. Hiley


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.


Reflection Initial Position Potential Barrier Wave Packet Energy Incident 
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Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • C. Dewdney
    • 1
  • B. J. Hiley
    • 1
  1. 1.Department of Physics, Birkbeck CollegeUniversity of LondonLondonEngland

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