Abstract
Theoretical treatments of the resonance radiation imprisonment are generally based upon Holstein's equation. However a solution that could provide both the initial time behavior and that of the infinitely late moment by a finite number of terms has been lacked so far. A new approach is proposed in this paper, which directly integrates the equation by means of operator calculation and results in an expression expanded in a series in time. Our study on the behavior of the high order coefficients of this series leads to a success in overcoming the difficulty to obtain the sum of infinite terms and achieving a complete description of the time behavior.
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