Abstract
The set of integral equations describing the molecular scattering process developed in the previous papers of this series is reformulated as a set of differential equations, in which the coupling is associated with a Hermitian matrix. Exact eigenvectors and eigenvalues of this matrix are developed. These eigenvectors may be used as the basis of a numerical solution of the equations. They also lead to an approximate solution which is valid when the difference of the wavenumbers in the entrance and exit channels is small. The approximate solution may be considered as the lowest‐order term in a series development.

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