Abstract
The quasi classical theory of inelastic atomic and molecular collisions has a long history going back at least to the seminal paper by Stückelberg [1], and a large body of the literature is devoted to the subject (see e.g. [2]). The calculation of inelastic scattering S-matrix elements (at least in the spherical symmetric case) proceeds usually in two steps: i) The reduction of the second order coupled channel equations to a first order “common trajectory” model by means of semi-classical treatments. ii) The approximate calculation of the inelastic probability transitions within the common trajectory model. A case of particular interest is the crossing or almost crossing of electronic Born-Oppenheimer surfaces where a Stückelberg-Landau-Zener type formula is obtained.
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Martin, P.A., Nenciu, G. (1994). Semi-Classical Inelastic S-Matrix for One-Dimensional N-States Systems. In: Fannes, M., Maes, C., Verbeure, A. (eds) On Three Levels. NATO ASI Series, vol 324. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-2460-1_14
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DOI: https://doi.org/10.1007/978-1-4615-2460-1_14
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