Collisional redistribution of radiation. III - The equation of motion for the correlation function and the scattered spectrum

Mathematics

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Atomic Collisions, Atomic Spectra, Equations Of Motion, Quantum Mechanics, Radiation Distribution, Approximation, Correlation, Operators (Mathematics), Regression Analysis, Scattering Functions

Scientific paper

Computations were made of the scattering of monochromatic radiation by a degenerate atom in the binary-collision approximation for field strengths whose products of the Rabi frequency for atomic transition and the duration of a strong collision are much less than 1. An expression of motion for the correlation function is derived which does not exclude the region where thermal correlations may be neglected; the equation is valid outside the quantum-regression regime, and has a straightforward solution for practical cases. Solutions for the weak-field linear response regime are presented in terms of generalized absorption and emission profiles which depend on the indices of the atomic multipoles.

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