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Higher-order approximations for semiclassical path-coherent states of a spinless relativistic particle

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

Abstract

A method has been developed for constructing higher-order approximations for semiclassical path-coherent states of a spinless relativistic particle. Expressions for the higher-order approximations are derived in quadrature form from the classical path of the particle. The method for constructing higher-order approximations is based on Maslov's complex WKB method.

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Literature cited

  1. V. G. Bagrov and V. V. Belov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 4, 48 (1982).

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

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  3. V. P. Maslov, Complex WKB Method in Nonlinear Equations [in Russianl, Nauka, Moscow (1977).

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  4. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields, Pergamon, New York (1976).

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  5. V. G. Bagrov, V. V. Belov, and I. M. Ternov, J. Math. Phys.,24, 2855 (1983).

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Authors and Affiliations

  1. Moscow Institute of Electronic Machine Building, USSR

    V. V. Belov & A. G. Karavaev

  2. V. V. Kuibyshev Tomsk State University, USSR

    V. V. Belov & A. G. Karavaev

Authors
  1. V. V. Belov
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  2. A. G. Karavaev
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Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 54–58, July, 1988.

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Belov, V.V., Karavaev, A.G. Higher-order approximations for semiclassical path-coherent states of a spinless relativistic particle. Soviet Physics Journal 31, 563–566 (1988). https://doi.org/10.1007/BF00917549

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  • DOI: https://doi.org/10.1007/BF00917549

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