A new method for solving the coupled equations in the adiabatic representation

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Abstract
A new method for solving the coupled equations in the adiabatic representation which arise in quantum mechanical treatment of atomic and molecular collisions is developed. The solutions of the uncoupled adiabatic equations, obtained from the coupled equations in the adiabatic representation by neglecting the coupling terms, are used to derive a set of new exact equations for the purely inelastic effects of the collision. The solutions of the new equations are practically nonoscillatory and can be solved numerically with little computational effort.