Skip to main content
SpringerLink
Log in

Analog of the frobenius method for solving homogeneous integral equations of the quasi-potential approach in a relativistic configurational representation

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

Abstract

A method is suggested for constructing a solution of the homogeneous integral equation of a three-dimensional, covariant, simultaneous theory of bound states formulated in a relativistic configurational representation. The method is based on representing the unknown solutions in the form of a combination of functions that includes hyperbolic functions and polynomials (degenerate power series). Using this method and the REDUCE system of analytical calculations, the exact conditions determining the mass spectrum and the exact wave functions for a two-particle relativistic system with a quasi-potential [tanh(πr/2)]/r are found.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. A. Logunov and A. N. Tavkhelidze, Nuovo Cimento,29, 380 (1963).

    MathSciNet  Google Scholar 

  2. V. G. Kadyshevskii (Kadyshevsky), Nucl. Phys.,B6, No. 1, 125 (1968).

    Article  ADS  Google Scholar 

  3. V. G. Kadyshevskii and A. N. Tavkhelidze, in: Problems of Theoretical Physics [in Russian], Nauka, Moscow (1969), p. 261.

    Google Scholar 

  4. V. G. Kadyshevskii (Kadyshevsky), R. M. Mir-Kasimov, and N. B. Skachkov, Nuovo Cimento,A55, 233 (1968).

    ADS  Google Scholar 

  5. V. G. Kadyshevskii (Kadyshevsky), R. M. Mir-Kasimov, and N. B. Skachkov, Sov. J. Part. Nucl.,2, No. 3, 638 (1972).

    Google Scholar 

  6. R. N. Faustov, Ann. Phys.,78, No. 1, 176 (1973).

    Article  ADS  Google Scholar 

  7. V. A. Abruzov et al., Mod. Phys. Lett.,A5, 1441 (1990).

    Article  ADS  Google Scholar 

  8. N. B. Skachkov and I. L. Solvvtsov, Sov. J. Part. Nucl.,9, No. 1, 5 (1978).

    Google Scholar 

  9. E. A. Dei, V. N. Kapshai, and N. B. Skachkov, Teor. Mat. Fiz.,69, No. 1, 55 (1986).

    MathSciNet  Google Scholar 

  10. E. A. Dei, V. N. Kapshai, and N. B. Skachkov, Teor. Mat. Fiz.,82, No. 2, 188 (1990).

    MathSciNet  Google Scholar 

  11. V. N. Kapshai and N. B. Skachkov, Teor. Mat. Fiz..,55, No. 1, 26 (1983).

    MathSciNet  Google Scholar 

  12. V. N. Kapshai and N. B. Skachkov, Teor. Mat. Fiz.,53, No. 1, 32 (1982).

    MathSciNet  Google Scholar 

  13. G. Arfken, Mathematical Methods for Physicists, Academic Press, New York (1968).

    MATH  Google Scholar 

Download references

Authors
  1. V. N. Kapshai
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. A. Alferova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

F. Skorina State University, Gomel’. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 7, pp. 53–61, July, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kapshai, V.N., Alferova, T.A. Analog of the frobenius method for solving homogeneous integral equations of the quasi-potential approach in a relativistic configurational representation. Russ Phys J 40, 641–648 (1997). https://doi.org/10.1007/BF02514953

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02514953

Keywords

Search

Navigation