Abstract

The non-perturbative Floquet method is used to provide the dressed states of a hydrogen atom in a laser field in the soft-photon, weak-field regime. These dressed atomic states then provide a basis set expansion for use within a consistent semiclassical multichannel eikonal treatment of laser-assisted e--H(1S) collisions. The variations with field strength of the 1S-2S and 1S-2P0 state-to-state cross sections are presented. Special attention is given to correlating the time frame of the laser field with the time frame of the relative orbit of the collisional species, and this is shown to require the inclusion of a phaseshift delta omega within the vector potential of the laser field. This inclusion is important when comparing with experimental results.

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