Abstract
In the treatment of reactive collisions by approximate methods such as the Distorted Wave Born Approximation, two-dimensional non-separable integrals are frequently encountered. In this article, we introduce the use of a two-dimensional canonical integral, the hyperbolic umbilic canonical diffraction function, on a model problem which leads to non-separable twodimensional Franck-Condon integrals. The identification of the parameters of the canonical function in terms of the physical parameters of the model is immediate in this case, and we find that the use of this function reproduces numerical quadrature results accurately with substantial savings in computing time. Extensions of the procedure to more general problems, anticipated by Child and Shapiro, are also discussed.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
