Skip to main content
Log in

Constrained Systems Described by Nambu Mechanics

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

Using the framework of Nambu's generalised mechanics, we obtain a new description of constrained Hamiltonian dynamics, involving the introduction of another degree of freedom in phase space, and the necessity of defining the action integral on a world sheet. We also discuss the problem of quantising Nambu mechanics.

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

    Google Scholar 

  2. Bayen, F. and Flato, M.: Remarks concerning Nambu's generalized mechanics, Phys. Rev. D 11 (1975), 3409.

    Google Scholar 

  3. Mukunda, N. and Sudarshan, E. C. G.: Relation between Nambu and Hamiltonian mechanics, Phys. Rev. D 13 (1976), 2846.

    Google Scholar 

  4. Hirayama, M.: Realization of Nambu mechanics: A particle interacting with SU(2) monopole, Phys. Rev. D 16 (1977), 530; Chatterjee, R.: Dynamical symmetries and Nambu mechanics, Lett. Math. Phys. 36 (1996), 117; Chatterjee, R. and Takhtajan, L.: Aspects of classical and quantum Nambu mechanics, hepth/ 9507125; Codriansky, S., Navarro, R. and Pedroza, M.: The Liouville condition and Nambu mechanics, J. Phys. A 29 (1996), 1037.

    Google Scholar 

  5. Takhtajan, L.: On foundation of the generalized Nambu mechanics, Comm. Math. Phys. 160 (1994), 295.

    Google Scholar 

  6. Schafer, R. D.: An Introduction to Nonassociative Algebras, Academic Press, New York, 1966.

    Google Scholar 

  7. Lassig, C. C. and Joshi, G. C.: Magnetic charge in a nonassociative field theory, University of Melbourne preprint UM-P-96/24, RCHEP-96/3 (1996), hep-th/9604201 (Phys. Lett. in press).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

LASSIG, C.C., JOSHI, G.C. Constrained Systems Described by Nambu Mechanics. Letters in Mathematical Physics 41, 59–63 (1997). https://doi.org/10.1023/A:1007371029677

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1007371029677

Navigation