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Evolution of the width of the wave packet of a charged particle interacting with a quantum electromagnetic field

  • Atoms, Spectra, Radiation
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Abstract

The path integral method is used to study the width of the wave packet of a relativistic charged particle interacting with a quantum electromagnetic field. A general expression is derived for the density distribution of a particle moving in arbitrary external potentials. An electron synchrotron with weak focusing is studied as a specific example, and the width of the wave packet of an electron moving in this accelerator is found.

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References

  1. M. Sands, Phys. Rev. 97, 470 (1955).

    Article  ADS  Google Scholar 

  2. A. A. Kolomenskii and A. N. Lebedev, Zh. Éksp. Teor. Fiz. 30, 205 (1956) [Sov. Phys. JETP 3, 130 (1956)].

    Google Scholar 

  3. A. A. Sokolov and I. M. Ternov, Zh. Éksp. Teor. Fiz. 25, 698 (1953).

    Google Scholar 

  4. R. P. Feynman and F. L. Vernon, Ann. Phys. (N.Y.) 24, 118 (1963).

    Article  MathSciNet  Google Scholar 

  5. R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals, McGraw-Hill, New York (1965).

    Google Scholar 

  6. A. O. Caldeira and A. J. Leggett, Physica A 121, 587 (1983).

    Article  ADS  MathSciNet  Google Scholar 

  7. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, 4th ed., Pergamon Press, Oxford (1975).

    Google Scholar 

  8. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics [in Russian], 3rd ed., Nauka, Moscow (1989), p. 432 [English edition: Pergamon Press, Oxford (1991)].

    Google Scholar 

  9. S. A. Kheifets, Electron Synchrotron [in Russia], Armenian SSR Academy of Sciences Publishing House, Erevan (1963).

    Google Scholar 

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Zh. Éksp. Teor. Fiz. 111, 1563–1578 (May 1997)

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Faleev, S.V. Evolution of the width of the wave packet of a charged particle interacting with a quantum electromagnetic field. J. Exp. Theor. Phys. 84, 856–863 (1997). https://doi.org/10.1134/1.558223

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  • DOI: https://doi.org/10.1134/1.558223

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