Semiclassical perturbation theory of molecular collisions. III. Graphical angular momentum methods and the nth order

H. A. Rabitz; R. Gordon

doi:10.1063/1.1665135

Semiclassical perturbation theory of molecular collisions. III. Graphical angular momentum methods and the nth order

H. A. Rabitz, R. Gordon

Research output: Contribution to journal › Article › peer-review

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Abstract

A review of graphical angular momentum methods is presented. As an example, the graphical methods are applied to the coupling problem in the semiclassical first and second Born approximations with an electric multipole potential. The general nth-order Born term is then considered. A simple expression is derived for the matrix elements of the anisotropic terms in the potential. The evaluation of the remaining integrals over time is discussed.

Original language	English (US)
Pages (from-to)	3339-3357
Number of pages	19
Journal	Journal of Mathematical Physics
Volume	11
Issue number	12
DOIs	https://doi.org/10.1063/1.1665135
State	Published - 1970
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.1665135

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abstract = "A review of graphical angular momentum methods is presented. As an example, the graphical methods are applied to the coupling problem in the semiclassical first and second Born approximations with an electric multipole potential. The general nth-order Born term is then considered. A simple expression is derived for the matrix elements of the anisotropic terms in the potential. The evaluation of the remaining integrals over time is discussed.",

author = "Rabitz, {H. A.} and R. Gordon",

year = "1970",

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AU - Gordon, R.

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AB - A review of graphical angular momentum methods is presented. As an example, the graphical methods are applied to the coupling problem in the semiclassical first and second Born approximations with an electric multipole potential. The general nth-order Born term is then considered. A simple expression is derived for the matrix elements of the anisotropic terms in the potential. The evaluation of the remaining integrals over time is discussed.

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Semiclassical perturbation theory of molecular collisions. III. Graphical angular momentum methods and the nth order

Abstract

All Science Journal Classification (ASJC) codes

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