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Studies of the Potential Curve Crossing Problem II. General Theory and a Model for Close Crossings

Delos, John B.
; 
Thorson, W. R.
Abstract
A unified formal treatment of the two-state potential-curve-crossing problem in atomic collision theory is presented, and the case of close crossings analyzed in detail. A complete solution for this case, including necessary computations, is given using a suitable generalization of the linear model originally suggested by Landau, Zener, and Stueckelberg. Our solution is based upon a hierarchy of approximations concerned with (i) choice of a discrete basis set for electronic coordinates, (ii) semiclassical treatment of the nuclear motion, (iii) an appropriate model for the two-state electronic Hamiltonian, and (iv) a complete solution to that model.
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1972-08-01
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American Physical Society
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Physics
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Physics
DOI
https://doi.org/10.1103/PhysRevA.6.728
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https://scholarworks.wm.edu/handle/internal/940
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