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Two-Photon Emission of a Hydrogenlike Atom with Photon Polarization and Electron Spin States Taken into Account

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The process of two-photon emission (Ze)* → (Ze) + 2γ of a hydrogenlike atom is considered with spin states of the electron and polarization of the photons taken into account, which had not been done before. A general expression for the probability of the process per unit time has been obtained for different polarization states of the photons with a formulation of hard and soft selection rules for the quantum numbers m and l. It is shown that by virtue of the established specifics of the properties of the two-photon emission process (absence of a Zeeman effect and dependence of the probability on the polarization states of the photons), it can in principle be identified against the background of single-photon emission (Ze)* → (Ze) + γ, despite the presence of additional small factors: 1) α = e 2/ћc ≈ 1/137 of the perturbation theory in e, and 2) the square of the atomic expansion parameter (Zα)2 in the expression for the probability.

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References

  1. A. A. Sokolov, I. M. Ternov, and Yu. M. Loskutov, Quantum Mechanics [in Russian], Uchpedgiz, Moscow (1962).

    MATH  Google Scholar 

  2. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-Relativistic Theory, Pergamon Press, Oxford (1977).

    MATH  Google Scholar 

  3. V. V. Skobelev, Russ. Phys. J., 59, No. 1, 48–64 (2016).

    Article  Google Scholar 

  4. W. R. Johnson, Phys. Rev. Lett., 29, 1123 (1972).

    Article  ADS  Google Scholar 

  5. F. A. Parpia and W. R. Johnson, Phys. Rev., A26, 1142 (1982).

    Article  ADS  Google Scholar 

  6. U. D. Jentschura, Phys. Rev., A69, 052118 (2004).

    Article  ADS  Google Scholar 

  7. J. P. Santos, F. Parente, and P. Indelicato, Eur. Phys. J., D3, 43 (1998).

    ADS  Google Scholar 

  8. U. D. Jentschura and A. Surzhykov, Phys. Rev., A77, 042507 (2008).

    Article  ADS  Google Scholar 

  9. A. Surzhykov, J. P. Santos, P. Amaro, and P. Indelicato, Phys. Rev., A80, 052511 (2009).

    Article  ADS  Google Scholar 

  10. V. B. Beretetskii, E. M. Lifshitz, and L. P. Pitaevskii, Relativistic Quantum Theory, Vol. 4, Pergamon Press, Oxford (1971).

  11. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, Academic Press, New York (1985).

    MATH  Google Scholar 

  12. V. V. Skobelev, Russ. Phys. J., 59, No. 7, 1076–1089 (2016).

    Article  Google Scholar 

  13. L. N. Labzovskii, Quantum Electrodynamics of Electron Shells and Emission Processes [in Russian], Nauka, Moscow (1996).

    Google Scholar 

Download references

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Authors and Affiliations

  1. Moscow Polytechnic University, Moscow, Russia

    V. V. Skobelev

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  1. V. V. Skobelev
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Correspondence to V. V. Skobelev.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 93–101, October, 2016.

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Skobelev, V.V. Two-Photon Emission of a Hydrogenlike Atom with Photon Polarization and Electron Spin States Taken into Account. Russ Phys J 59, 1623–1634 (2017). https://doi.org/10.1007/s11182-017-0954-5

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  • DOI: https://doi.org/10.1007/s11182-017-0954-5

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