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Published April 1, 1972 | Published
Journal Article Open

Theory of Semiclassical Transition Probabilities (S Matrix) for Inelastic and Reactive Collisions. Uniformization with Elastic Collision Trajectories

Abstract

A canonical transformation is described for uniformizing the coordinates used in Paper I of this series. For comparison with the results of Paper III, which based a uniformization on exact trajectories, the present article describes one based on elastic collision trajectories. The question of invariance of S-matrix elements with respect to semiclassical unitary transformations is also discussed.

Additional Information

© 1972 The American Institute of Physics. Received 9 September 1971. I have benefitted from helpful discussions with my co-worker, Dr. Wing Wong, during the course of our work in Ref. 6. The present manuscript was completed while I was a member of the Aspen Center for Physics, and I am happy to acknowledge the hospitality of the personnel there. Acknowledgement is made to the National Science Foundation and to the donors of the Petroleum Research Fund, administered by the American Chemical Society, for their support of this research.

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August 19, 2023
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