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Quantum Systems in Chemistry and Physics pp 231–252Cite as

Advanced Relativistic Energy Approach to Radiative Decay Processes in Multielectron Atoms and Multicharged Ions

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Part of the book series: Progress in Theoretical Chemistry and Physics ((PTCP,volume 26))

Abstract

We present the generalized advanced energy approach to relativistic calculations of the radiative decay (transition) probabilities in neutral multielectron atomic systems and multicharged ions. The approach is based on the Gell-Mann and Low S-matrix formalism and relativistic many-body perturbation theory (PT), using an optimized one-quasiparticle representation and an accurate account of relativistic and correlation effects. In the relativistic case, the Gell-Mann and Low formula expresses an energy shift \( \Delta E \) through the electrodynamical scattering matrix including an interaction with a laser field as a photon vacuum field. The last case is corresponding to traditional definition of the radiative transition probabilities for atoms and ions. The results of relativistic calculation of the radiative transition probabilities and oscillator strengths are presented for a number of heavy atoms and multicharged ions and compared with available theoretical and experimental data. The role of the correlation corrections and gauge non-invariant contributions to the radiation widths for different atoms and ions is discussed.

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Acknowledgments

The author is very thankful to Prof. Kiyoshi Nishikawa for his invitation to make a contribution to the QSCP-XVI workshop (Japan). The author is also very grateful to Profs. Elena P. Ivanova, Leonid N. Ivanov and Vladilen S. Letokhov (ISAN, Troitsk) for a many-year cooperation. The support of the ISAN (Russian Academy of Sciences, Troitsk) and of the University of Freiburg (Germany) is acknowledged. Comments of the reviewers are acknowledged too.

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Authors and Affiliations

  1. Odessa State University – OSENU, 24a, Odessa, 65009, Ukraine

    Alexander V. Glushkov

  2. ISAN, Russian Academy of Sciences, Troitsk, 142090, Russia

    Alexander V. Glushkov

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  1. Alexander V. Glushkov
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Correspondence to Alexander V. Glushkov .

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Editors and Affiliations

  1. , Division of Mathem. and Physical Science, Kanazawa University, Kanazawa, 920-1192, Japan

    Kiyoshi Nishikawa

  2. Laboratoire de Chimie Physique, rue Pierre et Marie Curie 11, Paris, 75005, France

    Jean Maruani

  3. Dept. Quantum Chemistry, Uppsala University, Uppsala, Sweden

    Erkki J. Brändas

  4. Inst. Matemáticas y Física, Fundamental (IMAFF), CSIC Madrid, C/ Serrano 123, Madrid, 28006, Spain

    Gerardo Delgado-Barrio

  5. Dept. Chemistry, Michigan State University, Chemistry Building, East Lansing, 48824, Michigan, USA

    Piotr Piecuch

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Glushkov, A.V. (2012). Advanced Relativistic Energy Approach to Radiative Decay Processes in Multielectron Atoms and Multicharged Ions. In: Nishikawa, K., Maruani, J., Brändas, E., Delgado-Barrio, G., Piecuch, P. (eds) Quantum Systems in Chemistry and Physics. Progress in Theoretical Chemistry and Physics, vol 26. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5297-9_12

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