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Uniform Airy Approximation for Nonadiabatic Transitions in a Curve-Crossing Weak-Coupling Case

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Published/Copyright: December 19, 2017

Abstract

This work suggests a connection between Landau-Zener transition probabilities between two crossing potentials in the classically accessible WKB regime and Landau-Lifshitz transition probabilities in the classically inaccessible WKB regime. It is based on the uniform Airy (UAi) approximation which represents a generalization of quantum transition probabilities for linear crossing potentials with constant coupling. The performance of the UAi approximation is tested by comparison with distorted-wave probabilities for an exponential potential model and illustrated for potentials that determine the intersection of two ab initio vibronic potential surfaces of the NO-Ar system.

Acknowledgement

We are grateful to I. Litvin for technical help.

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Received: 2017-8-29
Accepted: 2017-11-23
Published Online: 2017-12-19
Published in Print: 2018-3-28

©2018 Walter de Gruyter GmbH, Berlin/Boston

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