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Transformation of operator equations describing the interaction of relativistric particles with an electric field

  • XXX International Conference on the Physics of Interaction of Fast Charged Particles with Matter
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Abstract

A method is developed for solving relativistic wave equations for the Hamiltonian in the Foldy—Wouthuysen representation. These equations are recast into a quadratic form, whereby we get rid of square roots of operators. Applications of the method are exemplified by considering the interaction of a particle with a field characterized by a harmonic potential.

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References

  1. L. L. Foldy and S. A. Wouthuysen, Phys. Rev. 78, 29 (1950).

    ADS  Google Scholar 

  2. A. Ya. Silenko, Zh. Éksp. Teor. Fiz. 107, 1240 (1995) [JETP 80, 690 (1995)].

    Google Scholar 

  3. A. S. Davydov, Quantum Mechanics (Fizmatgiz, Moscow, 1963; Pergamon, Oxford, 1976).

    Google Scholar 

  4. K. M. Case, Phys. Rev. 95, 1323 (1954).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  5. H. Feshbash and F. Villars, Rev. Mod. Phys. 30, 24 (1958).

    ADS  MathSciNet  Google Scholar 

  6. D. M. Fradkin and R. H. Good, Rev. Mod. Phys. 33, 343 (1961).

    Article  ADS  Google Scholar 

  7. J. D. Bjorken and S. D. Drell, Relativistic Quantum Mechanics (McGraw-Hill, New York, 1964; Nauka, Moscow, 1978).

    Google Scholar 

  8. E. I. Blount, Phys. Rev. 128, 2454 (1962).

    Article  ADS  MATH  MathSciNet  Google Scholar 

  9. A. I. L’vov, Preprint No. 344 FIAN (Lebedev Institute of Physics, USSR Academy of Sciences, Moscow, 1987).

  10. A. Ya. Silenko, Teor. Mat. Fiz. 105, 46 (1995).

    MATH  MathSciNet  Google Scholar 

  11. V. B. Berestetskii, E. M. Lifshitz, and L. P. Pitaevskii, Quantum Electrodynamics (Nauka, Moscow, 1989; Pergamon, Oxford, 1982).

    Google Scholar 

  12. J. A. Young and S. A. Bludman, Phys. Rev. 131, 2326 (1963).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Nuclear Problems, Belarussian State University, Minsk, Belarus

    A. J. Silenko

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  1. A. J. Silenko
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Translated from Yadernaya Fizika, Vol. 64, No. 5, 2001, pp. 1048–1053.

Original Russian Text Copyright © 2001 by Silenko.

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Silenko, A.J. Transformation of operator equations describing the interaction of relativistric particles with an electric field. Phys. Atom. Nuclei 64, 977–982 (2001). https://doi.org/10.1134/1.1378894

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  • DOI: https://doi.org/10.1134/1.1378894

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