For the first time, to the authors' knowledge, a mathematically rigorous method is used for obtaining finite-time deviations from the exponential decay of the dipole-moment expectation values in the case of spontaneous Lyman-α transition in a two-level hydrogenic atom. In calculations counterrotating terms, yielding the frequency shift (Lamb shift) within the scope of the two-level model, are taken into account.
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Seke, J., Herfort, W. Finite-time deviations from exponential decay of dipole-moment expectation values in the case of spontaneous emission. Lett Math Phys 18, 247–253 (1989). https://doi.org/10.1007/BF00399974
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