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Theory Of Near-Adiabatic Collisions. Ii. Scattering Coordinate Method, W. R. Thorson, John B. Delos
Theory Of Near-Adiabatic Collisions. Ii. Scattering Coordinate Method, W. R. Thorson, John B. Delos
Arts & Sciences Articles
A rigorously correct and fully quantum-mechanical theory of slow atomic collisions is presented, which removes the formal defects and spurious nonadiabatic couplings of perturbed-stationary-states theory, and arrives at coupled equations for the heavy-particle motion which are the same as those obtained in the preceding paper by the electron translation factor formulation. Here, however, the theory is formulated in terms of suitably defined scattering coordinates, and electron translation factors do not appear. A unified physical interpretation of both approaches can thereby be made, and smaller terms in the coupled equations, describing corrections of order mμ to electronic binding energies and to …
Theory Of Near-Adiabatic Collisions. I. Electron-Translation-Factor Method, W. R. Thorson, John B. Delos
Theory Of Near-Adiabatic Collisions. I. Electron-Translation-Factor Method, W. R. Thorson, John B. Delos
Arts & Sciences Articles
The theory of near-adiabatic collisions is formulated in a fully quantum-mechanical form, correctly taking into account the role of electron translation factors (ETF's). A general form for the ETF, using switching functions, is given for systems which are electrically either asymmetric or symmetric (with or without mass asymmetry). The main result is that the close-coupled scattering equations obtained in the perturbed-stationary-states theory must be replaced by equations of identical form, but having modified nonadiabatic coupling matrices. In general, the corrections involved are substantial; their nature, and effect on coupling matrices, is discussed, and conditions when they are likely to …