Document Type
Article
Department/Program
Physics
Journal Title
Physical Review A
Pub Date
8-1972
Publisher
American Physical Society
Volume
6
Issue
2
First Page
728
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.
Recommended Citation
Delos, John B. and Thorson, W. R., Studies of the Potential Curve Crossing Problem II. General Theory and a Model for Close Crossings (1972). Physical Review A, 6(2), 728-745.
https://doi.org/10.1103/PhysRevA.6.728
DOI
https://doi.org/10.1103/PhysRevA.6.728
