Abstract
The two-photon transition probability per unit photon flux has been calculated for the process in which two photons, of generally different frequencies, induce the excitation from the ground states of neon and argon to some of the low-lying excited states. The matrix elements, needed to perform the summation over the intermediate states, were obtained by exploiting the results of a random phase approximation calculation. Both the length and velocity form of the perturbation operator were employed and the discrepancies between the corresponding results are discussed. The calculations refer to the experimental set-up in which two linearly polarized photons with parallel polarization vectors are used.

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