Skip to main content
Log in

The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

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.

Literature Cited

  1. V. E. Zakharov, S. V. Manakov, S. P. Novikov, and L. P. Pitaevskii, The Theory of Solitons. The Inverse Scattering Method [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. M. Toda, Theory of Nonlinear Lattices, Springer Series in Solid-State Sciences, Vol. 20, Springer, Berlin (1981).

    Google Scholar 

  3. I. A. Malkin and V. I. Man'ko, Dynamical Symmetries and Coherent States of Quantum Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  4. A. M. Perelomov, Generalized Coherent States and their Applications [in Russian], Nauka, Moscow (1987).

    Google Scholar 

  5. A. F. Nikiforov, S. K. Suslov, and V. B. Uvarov, Classical Orthogonal Polynomials of a Discrete Variable [in Russian], Nauka, Moscow (1985).

    Google Scholar 

  6. Ya. I. Granovskii and A. S. Zhedanov, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 5, 60 (1986).

    Google Scholar 

  7. W. Miller (Jr.), Symmetry and Separation of Variables [Russian translation], Mir, Moscow (1981).

    Google Scholar 

Download references

Authors

Additional information

Donets State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 82, No. 1, pp. 11–17, January, 1990.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhedanov, A.S. The Toda chain: Solutions with dynamical symmetry and classical orthogonal polynomials. Theor Math Phys 82, 6–11 (1990). https://doi.org/10.1007/BF01028245

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01028245

Keywords

Navigation