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Compact (correlated) coherent states of an electron moving in the field of a plane electromagnetic wave

  • Elementary Particle Physics And Field Theory
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Russian Physics Journal Aims and scope

Abstract

Compact coherent states of the relativistic electron which satisfy the conditions of completeness and orthogonality are constructed in the field of a plane electromagnetic wave. The physical sense of the quantum parameters introduced is defined, as well as their connection with the indeterminacy of coordinates and momentum. The breakdown of the coherent state is found with respect to all possible states which correspond to various classical trajectories of a particle, and the association of the derived results with Volkov's solutions is established.

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Literature cited

  1. D. M. Volkov, Zs. f. Phys.,94, 25 (1935).

    Google Scholar 

  2. R. I. Glauber, Phys. Rev.,130, 2529 (1963).

    Article  MathSciNet  ADS  Google Scholar 

  3. I. A. Malkin and V. I. Man'ko, Dynamic Symmetries and Coherent States of Quantum Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  4. V. G. Bagrov, I. L. Bukhbinder, and D. M. Gitman, Izv. Vuzov. Fizika, Tomsk (1986). Dep. VINITI 03.25.86, No. 924.

  5. I. D. Bjorben and I. B. Kogut, Phys. Rev.,3D, 1382 (1971).

    ADS  Google Scholar 

  6. A. A. Sokolov and I. M. Ternov, The Relativistic Electron [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  7. Compact and Correlated States of Quantum Systems: Works of the FIAN [in Russian], Vol. 200, Nauka, Moscow (1991).

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Authors
  1. I. N. Ovcharov
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  2. N. I. Fedosov
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Additional information

Tomsk Pedagogical Institute. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 45–49, February, 1993.

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Ovcharov, I.N., Fedosov, N.I. Compact (correlated) coherent states of an electron moving in the field of a plane electromagnetic wave. Russ Phys J 36, 137–140 (1993). https://doi.org/10.1007/BF00574094

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  • DOI: https://doi.org/10.1007/BF00574094

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