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Complete treatment of the time evolution of a spontaneously decaying atomic state without ignoring virtual-transition effects

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  • Seke, J.

Abstract

It is shown that the application of a self-consistent projection-operator method, developed recently by the author, makes a complete treatment of the sixty-year old problem of spontaneously decaying atomic state possible. In the present treatment all shortcomings of the Weisskopf-Wigner method (two-level atom, rotating-wave and Markov approximations, and the neglect of the term A2 and the retardation and electron-spin effects) are removed. After introducing a new physical real-transition interaction picture (in which the unobservable interaction of the free electron with the vacuum radiation field is eliminated), leading to a natural solution of the renormalization problem, explicit finite analytic results for the whole time evolution in the case of the Lyman-α spontaneous emission are obtained.

Suggested Citation

  • Seke, J., 1993. "Complete treatment of the time evolution of a spontaneously decaying atomic state without ignoring virtual-transition effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(3), pages 441-454.
    • Handle: RePEc:eee:phsmap:v:196:y:1993:i:3:p:441-454
    DOI: 10.1016/0378-4371(93)90207-K
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    References listed on IDEAS

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    1. Seke, J. & Herfort, W., 1991. "Influence of the counter-rotating terms on the spontaneous emission from a two-level hydrogenic atom: non-Markovian solution for atomic population-inversion expectation value and the radiative line sh," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(3), pages 561-576.
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    1. Seke, J., 1992. "A new physical interaction picture leading to the solution of the renormalization problem in the nonrelativistic treatment of the Lamb shift," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(3), pages 625-639.

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