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Full transmission within a wide energy range and super-criticality in relativistic barrier scattering
For potential barriers with scalar and vector coupling, we show that a Dirac
particle could experience nearly full transmission within a wide sub-barrier
energy band. Moreover, for certain potential configurations, including
pseudo-spin symmetry where the scalar potential is the negative of the vector,
full transmission occurs for arbitrarily small momentum.Comment: 10 pages, 4 figures, 1 table, 1 video animatio