Skip to main content
Log in

A system with constraints in the nambu mechanics

  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

We investigate, with Oliveira’s method, solutions to the Nambu equations for a free particle and a particle constrained on a hypersurface. There is no one-to-one correspondence between the Nambu and the Hamiltonian formulation.

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. Y. Nambu:Phys. Rev. D,7, 2405 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  2. F. B. Estabrook:Phys. Rev. D,8, 2740 (1973); F. Bayen and M. Flato:Phys. Rev. D,11, 3049 (1975); M. Flato, A. Lichnerowicz and D. Sternheimer:J. Math. Phys.,17, 1754 (1976); G. J. Ruggeri:Int. J. Theor. Phys.,12, 287 (1975);Lett. Nuovo Cimento,17, 169 (1976);Acta Cient. Venez.,32, 203 (1981); M. G. Sucre and A. J. Kálnay:Int. J. Theor. Phys.,12, 149 (1975); I. Cohen and A. J. Kálnay:Int. J. Theor. Phys.,12, 61 (1975); I. Cohen:Int. J. Theor. Phys.,12, 69 (1975); A. J. Kálnay and R. Tascón:Int. J. Theor. Phys.,16, 635 (1977); A. J. Kálnay and R. Tascón:Phys. Rev. D,17, 1552 (1978); N. Mukunda and E. C. G. Sudarshan:Phys. Rev. D,13, 2846 (1976); G. Marmo, E. J. Saletan, A. Simoni and F. Zaccaria:J. Math. Phys.,22, 835 (1981); G. W. Kentwell:Phys. Lett. A,114, 55 (1986); W.-H. Steeb and A. J. van Tonder:Phys. Scripta,38, 782 (1988); W.-H. Steeb and N. Euler:Prog. Theor. Phys.,80, 607 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  3. M. Razavy andF. J. Kennedy:Can. J. Phys.,52, 1532 (1974): R. Anguloet al.: Phys. Lett. A,104, 106 (1984); M. Hirayama:Phys. Rev. D,16, 530 (1977); M. Hirayama and H. C. Tze:Phys. Rev. D,17, 546 (1978).

    MathSciNet  ADS  MATH  Google Scholar 

  4. C. G. Oliveira:J. Math. Phys.,18, 120 (1977).

    Article  ADS  MATH  Google Scholar 

  5. T. Homma, T. Inamoto andT. Miyazaki:Z. Phys. C,48, 105 (1990);Phys. Rev. D,42, 2049 (1990).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

The authors of this paper have agreed to not receive the proofs for correction.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Homma, T., Kadoya, M. A system with constraints in the nambu mechanics. Nuov Cim B 108, 219–226 (1993). https://doi.org/10.1007/BF02874413

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02874413

PACS

Navigation