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


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.


Exact Solution Electromagnetic Field Relativistic Particle Hamiltonian Equation Trajectory State 
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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
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    V. P. Maslov and M. V. Fedoryuk, Quasiclassical Approximation for the Equations of Quantum Mechanics [in Russian], Nauka, Moscow (1976).Google Scholar
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    V. P. Maslov, Complex WKB Method in Nonlinear Equations [in Russian], Nauka, Moscow (1977).Google Scholar
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    L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon (1976).Google Scholar
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    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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