New theoretical methods for molecular collisions: the complex angular-momentum approach
- 1 January 1990
- journal article
- research article
- Published by Royal Society of Chemistry (RSC) in Journal of the Chemical Society, Faraday Transactions
- Vol. 86 (10) , 1627-1640
- https://doi.org/10.1039/ft9908601627
Abstract
A brief review of recent advances in the theory of inelastic molecular collisions and reactive scattering is presented. This is followed by a survey of the complex angular-momentum (Regge pole) approach to the theory of molecular scattering. The following topics are discussed: the definition and properties of Regge pole positions and residues, their physical interpretation, surface waves, quantum and semiclassical methods for the calculation of Regge poles, the complex harmonic-oscillator approximation, Watson transformation, Regge and subamplitude-pole representations of the scattering amplitude, diffraction scattering in atom–atom collisions, interference effects in the elastic scattering for a complex valued optical potential or parametrized scattering matrix element, diffraction oscillations for rotationally inelastic atom homonuclear-molecule collisions, and new phase rules for the shift of the inelastic angular distributions relative to the elastic scattering. Detailed derivations of equations are not presented, rather the emphasis is on the new information and physical insight provided by the complex angular-momentum approach.Keywords
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