The relation between the Airy and Bessel uniform approximations for onedimeusionalS matrix integrals in semiclassical collision theory is investigated. It is shown how the Airy uniform approximation can be obtained from the Bessel uniform approximation as a special case. The calculations extend prev
Theory of absorption and emission of radiation in molecular collisions: Semiclassical model
โ Scribed by Jian-Min Yuan; Thomas F. George; Francis J. McLafferty
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 636 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0009-2614
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โฆ Synopsis
A semiclassical transition amplitude is derived for electronically inelastic molecular collisions in the presence of an intense electromagnetic field. The calcuiation of this amplitude involves the integration of classical trajectories for nuclei moving on effective potential energy surfaces. These surfaces, which exhibit an avoided crossing due to the coupling through the dipole interaction around the resonance nucicar configuration, are analytically continued to their complex intersection points, where trajectories switch surfaces. 0 thcr parts of these surfaces are similar to the field-free adiabatic surfaces, where one is shifted by h'w. Me&stable states, formed at some collision energies, are suggested in the field which are absent in the field-free system.
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