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Scattering of neutral fermions by a pseudoscalar potential step in two-dimensional space-time

Antonio S. de Castro
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Abstract

The problem of scattering of neutral fermions in two-dimensional space-time is approached with a pseudoscalar potential step in the Dirac equation. Some unexpected aspects of the solutions beyond the absence of Klein\'{}s paradox are presented. An apparent paradox concerning the uncertainty principle is solved by introducing the concept of effective Compton wavelength. Added plausibility for the existence of bound-state solutions in a pseudoscalar double-step potential found in a recent Letter is given.

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Antonio S. de Castro. 2003-02-06. Scattering of neutral fermions by a pseudoscalar potential step in two-dimensional space-time. https://doi.org/10.1016/s0375-9601(03)00294-9

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