Abstract
We use a saddle point method to derive an asymptotic approximation to the adiabatic perturbation theory transition amplitude. This result is used to discuss the saturation of an ‘‘optical’’ collision when the field is resonant at an extremum of the potential energy difference. We point out that although the onset of saturation in this satellite occurs for lower field strengths than those needed to saturate a linear crossing, the satellite saturates more slowly than a linear crossing as the field strength is increased.
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