Skip to main content
Log in

Integrable Hamiltonian systems and interactions through quadratic constraints

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

Abstract

O n -invariant classical relativistic field theories in one time and one space dimension with interactions that are entirely due to quadratic constraints are shown to be closely related to integrable Hamiltonian systems.

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. Ablowitz, M. J., Kaup, D. J., Newell, A. C., Segur, H.: Phys. Rev. Lett.31, 125 (1973)

    Google Scholar 

  2. Takhtadzhyan, L. A., Fadeev, L. D.: Teor. Mat. Fiz.21, 2 (1974)

    Google Scholar 

  3. Coleman, S.: Phys. Rev. D11, 2088 (1975)

    Google Scholar 

  4. Gardner, C. S., Green, J. M., Kruskal, M. D., Miura, R. M.: Phys. Rev. Lett.19, 1095 (1967)

    Google Scholar 

  5. Lax, P. L.: Commun. Pure Appl. Math.21, 467 (1968)

    Google Scholar 

  6. Weinberg, S.: Phys. Rev.166, 1568 (1968)

    Google Scholar 

  7. Goursat, E.: Memorial Sci. Math. Fasc. 6. Paris: Gauthiers-Villars 1925

    Google Scholar 

  8. See Lamb, G. L., Jr.: J. Math. Phys.15, 2157 (1974)

    Google Scholar 

  9. See e.g. Knobloch, H. W., Kappel, F.: Gewöhnliche Differentialgleichungen, Kapitel II, § 5. Stuttgart: Teubner 1974

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by A. S. Wightman

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pohlmeyer, K. Integrable Hamiltonian systems and interactions through quadratic constraints. Commun.Math. Phys. 46, 207–221 (1976). https://doi.org/10.1007/BF01609119

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01609119

Keywords

Navigation