Abstract
A new approach for solving the problem of the dynamics of near-resonant charge exchange occurring in gas-surface collisions is presented for two electronic state system. This theory is based on Micha's common eikonal formalism which gives the evolution of the transition amplitudes and the nuclear trajectories. In this new theoretical treatment, the quadratic forms method in linear analysis is used for calculating the electronic transition amplitudes. The results show that a large part of the calculation can be carried out analytically. Since such a calculation only requires a small computational efforts, it is thus possible to carry out extensive parameter variation in an assumed potential function in order to fit calculations to experiments. This method was applied to scattering of Na atom from W(110) surface. The oscillatory behavior of transition probability with angular frequency w( t) is also analysed in detail and discussed.
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