Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-02-06
Phys.Lett. A309 (2003) 340-344
Physics
High Energy Physics
High Energy Physics - Theory
8 figures
Scientific paper
10.1016/S0375-9601(03)00294-9
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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