a SemiClassical Treatment of LaserAssisted Collisions in a SoftPhoton WeakField Regime
Abstract
A semiclassical Floquet approach is used to find an orthogonal set of dressed atomic states, which exactly solve the laser perturbed atomic Schrodinger equation. Initially neglecting the laser perturbation of the projectile, the new dressed atomic states are used to solve collisional problems in a timeindependent manner for electronhydrogen scattering. Cross sections for the 1S2S and 1S2P _0 inelastic collisions are determined using both the Bornwave and multichannel Eikonal treatments, and show identical dependencies on the electric field strength. The cross sections determined via Floquet dressed atomic states, are compared with cross sections determined via the more traditional timedependent Perturbation theory. These two approaches show strikingly different characteristics, where this difference is shown to originate from an important omission in the description of the atomic states by the perturbative approach. The full effect of the laser on the collision is then considered by using Volkov dressed states for the projectile. When the cross sections are summed over all possible final projectile energies the statetostate cross sections, which include the full effect of the laser field, are little different from the cross sections that neglect the laser perturbation of the projectile. This Floquet approach is then applied to proton hydrogen collisions and electronhelium collisions, which reveal similar trends in the cross sections to electron hydrogen Collisions.
 Publication:

Ph.D. Thesis
 Pub Date:
 1991
 Bibcode:
 1991PhDT.......202S
 Keywords:

 FLOQUET THEORY;
 VOLKOV DRESSED STATES;
 Physics: Atomic