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Published September 1, 1972 | public
Journal Article

Theory of semiclassical transition probabilities for inelastic and reactive collisions. IV. Classically-inaccessible transitions calculated by integration along complex-valued trajectories

Abstract

We calculate semiclassical S-matrix elements S_(mn) by numerical integration along complex-valued trajectories, by avoiding (simply) previously reported trajectory divergences. Now, one can numerically calculate even ❘S_(mn)❘ ≈ 10^(−11) for the Secrest-Johnson system (their lowest ❘S_(mn)❘^2), instead of only ❘S_(mn)❘^2 > 10^(−3). Agreement is excellent.

Additional Information

© 1972 Published by Elsevier B.V. Received 26 May 1972, Available online 20 November 2001. Acknowledgement is made to the donors of the Petroleum Research Fund administered by the American Chemical Society, and to the National Science Foundation for their support of this research. We should like to thank Professor J.O. Hirschfelder for his helpful criticisms, which served to clarify this presentation.

Additional details

Created:
August 19, 2023
Modified:
October 23, 2023