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Exact solution of the two-dimensional scattering problem for a class of delta-function potentials supported on subsets of a line
We use the transfer matrix formulation of scattering theory in twodimensions (2D) to treat the scattering problem for a potential of the form v(x, y) = ζ δ(ax + by)g(bx − ay) where ζ, a, and b are constants, δ(x) is the Dirac δ function, and g is a real- or complex-valued function. We map this probl
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