Skip to main content
Log in

Completely integrable classical systems connected with semisimple Lie Algebras, III

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

Abstract

A new proof is given that the integrals of motion for all with no exception classical systems previously considered in papers [1–8] are in evolution.

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. Moser J., Adv. Math. 16, 197 (1975).

    Google Scholar 

  2. Calogero F., Marchioro C., and Ragnisco O., Lett. Nuovo Cimento 13, 383 (1975).

    Google Scholar 

  3. Calogero F., Lett. Nuovo Cimento 13, 411 (1975).

    Google Scholar 

  4. Olshanetsky M.A. and Perelomov A.M., Lett. Math. Phys. 1, 187 (1976); Invent. Math. 37, 93 (1976).

    Google Scholar 

  5. Perelomov, A.M., preprint ITEP, No. 27 (1976).

  6. Adler, M., Courant Institute preprint (1975).

  7. Olshanetsky M.A. and Perelomov A.M., Lett. Nuovo Cimento 16, 333 (1976).

    Google Scholar 

  8. Olshanetsky M.A. and Perelomov A.M., Lett. Nuovo Cimento 17, 97 (1976).

    Google Scholar 

  9. Arnold, V.I., Mathematical Methods of Classical Mechanics, Moscow, 1974.

  10. Zakharov V.E. and Manakov S.V., Teor. Mat. Fiz. 19, 332 (1974).

    Google Scholar 

  11. Manakov S.V., Zh. Exp. Teor. Fiz. 67, 543 (1974).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Perelomov, A.M. Completely integrable classical systems connected with semisimple Lie Algebras, III. Lett Math Phys 1, 531–534 (1977). https://doi.org/10.1007/BF00399746

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00399746

Keywords

Navigation