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Article
Studies of the Potential Curve Crossing Problem II. General Theory and a Model for Close Crossings
Physical Review A
Document Type
Article
Department/Program
Physics
Pub Date
8-1-1972
Publisher
American Physical Society
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.
DOI
https://doi.org/10.1103/PhysRevA.6.728
Disciplines
Citation Information
John B. Delos and W. R. Thorson. "Studies of the Potential Curve Crossing Problem II. General Theory and a Model for Close Crossings" Physical Review A Vol. 6 Iss. 2 (1972) p. 728 - 745 Available at: http://works.bepress.com/john-delos/111/