Skip to main content
Log in

Properties of basis functions in O(3, 1) invariant expansions

  • Published:
Soviet Physics Journal Aims and scope

Abstract

Functions are discussed that form the bases of unitary irreducible representations of theO(3, 1) Lorentz group; some properties of these functions are derived for the case of spin 1/2.

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

Literature cited

  1. V. Fock, Z. Phys.,98, 145 (1935).

    Google Scholar 

  2. A. Z. Dolginov, Zh. Eksp. Teor. Fiz.,30, 746 (1956).

    Google Scholar 

  3. N. Ya. Vilenkin and Ya. A. Smorodinskii, Zh. Eksp. Teor. Fiz.,46, 1793 (1964).

    Google Scholar 

  4. A. A. Grib, B. A. Levitskii, and V. M. Mostepanenko, Teor. Mat. Fiz.,19, 59 (1974).

    Google Scholar 

  5. B. A. Levitskii, V. M. Mostepanenko, and V. M. Frolov, Dokl. Akad. Nauk SSSR,220, 61 (1975).

    Google Scholar 

  6. M. A. Liberman, Yu. A. Smorodinskii, and M. B. Sheftel', Yad. Fiz.,7, 202 (1968).

    Google Scholar 

  7. P. Winternitz, Yu. A. Smorodinskii, and M. B. Sheftel', Yad. Fiz.,8, 833 (1968).

    Google Scholar 

  8. B. A. Levitskii, Teor. Mat. Fiz.,8, 226, 1971.

    Google Scholar 

  9. B. A. Levitskii, Vestn. Leningrad. Gos. Univ., No. 4, 7 (1973).

    Google Scholar 

  10. S. G. Mamaev, V. M. Mostepanenko, and V. M. Frolov, Pis'ma Ast. Zh., 1 (9), 8 (1975); Yad. Fiz.,23, 1120 (1976).

    Google Scholar 

  11. M. A. Naimark, Linear Representations of the Lorentz Group [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

  12. A. I. Akhiezer and V. B. Berestetskii, Quantum Electrodynamics [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  13. A. Erdelyi (editor), Higher Transcendental Functions, Vol. 1, McGraw Hill.

  14. N. Ya. Vilenenkin, Special Functions and the Theory of Group Representations [in Russian], Nauka, Moscow (1965).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 29–35, February, 1977.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levitskii, B.A., Mostepanenko, V.M. & Frolov, V.M. Properties of basis functions in O(3, 1) invariant expansions. Soviet Physics Journal 20, 162–166 (1977). https://doi.org/10.1007/BF01297376

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01297376

Keywords

Navigation