Skip to main content
SpringerLink
Log in

Separation of variables in the wave equation. Sets of the type (1.1) and the algebra SU(1.2)

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

Abstract

It is shown that for the wave equation in Minkowski space all complete sets of symmetry operators that contain one istropic operator reduce to sets in which the isotropic operator has the form δ/δx0+δ/δx3.

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

Literature cited

  1. V. G. Bagrov, B. F. Samsonov, and A. V. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 44 (1991).

    Google Scholar 

  2. V. G. Bagrov et al., Preprint Nos. 31 and 38 [in Russian], Tomsk Section, Siberian Branch of the USSR Academy of Sciences, Tomsk (1988).

    Google Scholar 

  3. V. G. Bagrov et al., in: Gravitation and Electromagnetism, No. 4 [in Russian], Izd-vo Universitetskoe, Minsk (1989), pp. 30–33.

    Google Scholar 

  4. V. G. Bagrov et al., Teor. Mat. Fiz.,83, 14 (1990).

    Google Scholar 

  5. V. G. Bagrov et al., Preprint No. 27 [in Russian], Tomsk Section, Siberian Branch of the USSR Academy of Sciences, Tomsk (1990).

    Google Scholar 

  6. A. V. Shapovalov and I. V. Shirokov, in: Modern Group Analysis. Methods and Applications [in Russian], Leningrad (1990), pp. 52–58; Preprint No. 116 [in Russian], LII, USSR Academy of Sciences.

  7. V. N. Shapovalov, Diff. Uravneniya,16, 1864 (1980).

    Google Scholar 

  8. E. G. Kalnins and W. Miller, J. Math. Phys.,18, 271 (1977).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of High-Current Electronics, Siberian Branch, USSR Academy of Sciences, USSR

    V. G. Bagrov, B. V. Samsonov & A. V. Shapovalov

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

    V. G. Bagrov, B. V. Samsonov & A. V. Shapovalov

Authors
  1. V. G. Bagrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. B. V. Samsonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Shapovalov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 102–105, February, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bagrov, V.G., Samsonov, B.V. & Shapovalov, A.V. Separation of variables in the wave equation. Sets of the type (1.1) and the algebra SU(1.2). Soviet Physics Journal 34, 168–171 (1991). https://doi.org/10.1007/BF00940962

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00940962

Keywords

Search

Navigation