Potential barriers allowing counterintuitive tunneling

  • Several potentials appear to permit unexpected low-energy quantum tunneling in both Schrodinger and Dirac equations.


    A very recent preprint in the Schrodinger case --
    "The paradoxical zero reflection at zero energy"
    http://arxiv.org/pdf/1605.07315v2.pdf


    A paper examining the phenomenon for the Dirac Equation is --
    "Low Momentum Scattering in the Dirac Equation"
    http://arxiv.org/pdf/hep-th/0112156.pdf


    A web search reveals many more. Most, but not all, examine the 1-dimensional case.
    It would be interesting to know whether these are just mathematical curiosities, or can have real, measurable effects.

  • Another recent preprint on potential barriers with unexpectedly high tunneling probabilities --


    "The paradoxical zero reflection at zero energy"
    http://arxiv.org/abs/1605.07315


    A web search of related papers and citations reveals many more similar examples.


    I wonder whether superposing sharp transient em-potentials on nuclear potentials can significantly increase tunneling probabilities in real systems, or whether these unusual potentials are only mathematical curiosities that do not actually occur.

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