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

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Abstract

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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Authors and Affiliations

  1. Department of Physics, Birkbeck College, University of London, WC1E 7HX, London, England

    C. Dewdney & B. J. Hiley

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  1. C. Dewdney
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  2. B. J. Hiley
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Dewdney, C., Hiley, B.J. A quantum potential description of one-dimensional time-dependent scattering from square barriers and square wells. Found Phys 12, 27–48 (1982). https://doi.org/10.1007/BF00726873

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  • DOI: https://doi.org/10.1007/BF00726873

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