Collisional redistribution of radiation. I - The density matrix

Mathematics

Scientific paper

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Atomic Collisions, Interatomic Forces, Matrices (Mathematics), Molecular Relaxation, Radiative Recombination, Liouville Equations, Markov Processes, Quantum Theory

Scientific paper

As a first step in deriving accurate, calculable expressions for collisional redistribution of radiation, valid outside the impact regime a method for calculating an accurate binary-collision density operator for an atom in the presence of a driving field and perturbers is presented. Projection-operator techniques to establish first the precise validity of the Markoff approximation for radiative relaxation are used. Using the same techniques, it is shown how the collisional-relaxation problem may be analyzed in a practical manner outside the Markoff approximation. The effect of correlations between radiative and collisional events is included in a consistent way and the physical implications of these correlation effects are demonstrated for a simple example, the two-level atom with nondegenerate levels.

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