Abstract
Generalizations of previous work on the diagrammatic representation of transition amplitudes is reported. These generalizations relate mainly to the inclusion of single and multiple resonances within the framework of diagrammatic perturbation theory. It is shown that the existence of a resonance drastically reduces the number of significant diagrams. Applications of the diagrammatic theory, including tentative application to molecular rearrangement collisions, are considered. Relationships between transition probabilities for processes constituted of common sub-processes are demonstrated.

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