  The RSE Born Approximation is a new scattering formula in Physics, it allows
the calculation of strong scattering at all frequencies via the Fourier
transform of the scattering potential and Resonant-states. In this paper I
apply the RSE Born Approximation to Schrodinger's equation. The resonant-states
of the system can be calculated using the recently discovered RSE perturbation
theory and correctly normalised to appear in spectral Green's functions via the
flux-volume normalisation. In the limit of an infinite number of resonant
states being used in the RSE Born Approximation basis the approximation
converges to the exact solution. In the case of effectively 1-dimensional
systems I find an RSE Born Approximation alternative to the scattering matrix
method.
