Skip to main content
Log in

Trajectory-coherent states for the Klein-Gordon equation in its ϕ-representation

  • Physics of Elementary Particles and Field Theory
  • Published:
Russian Physics Journal Aims and scope

Abstract

Trajectory-coherent states are constructed for the Klein-Gordon equation in the Feshbach-Villars representation by the complex Wentzel-Kramers-Brillouin (WKB) method.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. P. Maslov, Theory of Perturbations and Asymptotic Methods [in Russian], Nauka, Moscow (1988).

    Google Scholar 

  2. V. G. Bagrov, V. V. Belov, and A. Yu. Trifonov, in: Semiclassically Concentrated States of the Schrödinger Equation. Lecture Notes in Theoretical and Mathematical Physics,1, Part 1 [in Russian], Kazan' (1996), pp. 15–136.

  3. V. G. Bagrov, V. V. Belov, and I. M. Ternov, J. Math. Phys.,24, No. 12, 2855–2859 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  4. V. V. Belov, D. V. Boltovsky, and A. Yu. Trifonov, Mod. Phys. Lett.,B8, No. 18, 2503–2524 (1994).

    ADS  Google Scholar 

  5. V. P. Maslov, Complex WKB Method as Applied to Nonlinear Equations [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. A. S. Davydov, Quantum Mechanics [in Russian], Nauka, Moscow (1974).

    Google Scholar 

  7. V. G. Bagrov, V. V. Belov, and A. Yu. Trifonov, Ann. Phys.,246, No. 2, 231–280 (1996).

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. V. G. Bagrov, V. V. Belov, and I. M. Ternov, Teor. Mat. Fiz.,50, No. 3, 390–396 (1982).

    MathSciNet  Google Scholar 

  9. V. G. Bagrov, V. V. Belov, A. M. Rogova, and A. Yu. Trifonov, Modern Phys. Lett.,B7, No. 26, 1667–1675 (1993).

    Article  ADS  Google Scholar 

  10. V. P. Maslov and M. V. Fedoryuk, Semiclassical Approach for Equations of Quantum Mechanics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

Download references

Authors

Additional information

Tomsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 44–49. October, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gritsenko, L.V., Susak, I.P. & Trifonov, A.Y. Trajectory-coherent states for the Klein-Gordon equation in its ϕ-representation. Russ Phys J 42, 897–901 (1999). https://doi.org/10.1007/BF02523803

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02523803

Keywords

Navigation