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Soviet Physics Journal

, Volume 25, Issue 4, pp 333–335 | Cite as

Quasiclassical coherent trajectory states of a spinless relativistic particle in an arbitrary electromagnetic field

  • V. G. Bagrov
  • V. V. Belov
Article

Abstract

Approximate (quasiclassical) solutions of the Klein-Gordon equation for a charge in an arbitrary electromagnetic field are constructed. One of the decisive properties of these solutions is that the average quantum-mechanical values of the coordinates and momenta in these states are the exact solutions of the classical relativistic Hamiltonian equations.

Keywords

Exact Solution Electromagnetic Field Relativistic Particle Hamiltonian Equation Trajectory State 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    V. G. Bagrov, V. V. Belov, and I. M. Ternov, Teor. Mat. Fiz.,50, 390 (1982).Google Scholar
  2. 2.
    V. P. Maslov and M. V. Fedoryuk, Quasiclassical Approximation for the Equations of Quantum Mechanics [in Russian], Nauka, Moscow (1976).Google Scholar
  3. 3.
    V. P. Maslov, Complex WKB Method in Nonlinear Equations [in Russian], Nauka, Moscow (1977).Google Scholar
  4. 4.
    L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon (1976).Google Scholar
  5. 5.
    V. G. Bagrov, D. M. Gitman, I. M. Ternov, V. R. Khalilov, and V. N. Shapovalov, Exact Solutions of Relativistic Wave Equations [in Russian], Nauka, Novosibirsk (1982).Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • V. G. Bagrov
    • 1
  • V. V. Belov
    • 1
  1. 1.Institute of High-Current Electronics, Siberian BranchAcademy of Sciences of the USSRUSSR

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