Semiclassical transition probabilities by an asymptotic evaluation of the S matrix for elastic and inelastic collisions. Bessel uniform approximation
摘要：
It has been observed in the past that the usual Airy uniform approximation gives probabilities greater than one, especially for near elastic collisions. By mapping the phase onto ζ cosy+ky+Arather than (1/3)y3 ζy+Aone obtains a uniform approximation involving Bessel functions of the first kind, which approaches unity for the elastic collision. This Bessel uniform approximation is no more complicated than the Airy and also gives good agreement with exact quantum results, even if probabilities are large.
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关键词：
collision processes/ semiclassical transition probabilities asymptotic evaluation S-matrix inelastic collisions Bessel uniform approximation elastic collisions/ A3370F Molecular lifetimes, absolute and relative line and band intensities A3440 Elastic scattering of atoms and molecules A3450 Inelastic scattering of atoms and molecules
DOI：
10.1063/1.1680733
被引量：
年份：
1973
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