engleski

Two-photon transition amplitudes in hydrogen-like atoms

Different methods for evaluating two-photon transition amplitudes in hydrogen-like atoms are compared with the improved method of direct summation. Three separate contributions to the two-photon transition probabilities in hydrogen-like atoms are calculated. The first one coming from the summation over discrete intermediate states is performed up to nc(max) = 35. The second contribution from the integration over the continuum states is performed numerically. The third contribution coming from the summation from nc(max) to infinity is calculated in an approximate way using the mean level energy for this region. It is found that the choice of nc(max) controls the numerical error in the calculations and can be used to increase the accuracy of the results much more efficiently than in other methods.

two-photon transitions; hydrogen-like atoms; improved method of direct summation; transition probabilities

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