Abstract
A new formulation for high-energy potential scattering, presented in a recent paper, is extended to provide explicit formulas for the scattering theory of the three-dimensional non-separable Schrodinger equation. An integral equation is derived, for which a single iteration gives the scattering when the potential energy is not too large and is slowlyvarying compared to a wavelength. The result agrees with those obtained earlier for small and for large scattering angles, but applies as well to intermediate angles and improves the earlier accuracy. Further iterations can provide greater accuracy as well as an error estimate for the first approximation.
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