Compare the results with the Born and eikonal cross sections. Although the restriction on At that we have derived is rigorous only for the simple case we have considered, it does provide a useful guide for more complicated situations, as the eigenvector of H with the largest eigenvalue will always oscillate from one lattice point to the next; its eigenvalue is therefore quite insensitive to the global features of the problem. What happens if you try a solution by integrating inward and outward to an intermediate matching radius? Figure V. However, the actual importance of the set book is in the viii Examples and Projects, where the scholar is target-hunting in applying these techniques to considerable snags in classical, quantum, or applied math natural philosophy.
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