Atomic Oscillations in the Statistical Approximation

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Abstract
The dipolar spectral distribution function, or the photoabsorption cross section, of atoms is derived in the statistical approximation starting from general dynamic equations describing the density fluctuations induced in the atom by an external field. Using a local form of the theory it is found that coherence between the motion in different parts of the atom causes a modification of the spectral function. The modification can be put in the form of a dispersion denominator, and if this denominator becomes small in certain frequency ranges, the absorption is enhanced by what can be identified as collective resonances of the atom as a whole.

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