For the first time to the authors' knowledge, a mathematically rigorous method is used for treating finite-time deviations from the exponential decay in the case of spontaneous Lyman-α transition in a two-level hydrogenic atom. In the so-called Weisskopf-Wigner model (where the rotating-wave approximation is implied), finite-time deviations with a rigorous validity range, based on accurate error estimations, are derived.
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Seke, J., Herfort, W. Finite-time deviations from exponential decay in the Weisskopf-Wigner model of spontaneous emission. Lett Math Phys 18, 185–191 (1989). https://doi.org/10.1007/BF00399966
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