Skip to main content
Log in

A realization fo the q-harmonic oscillator

  • 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. A. J. Macfarlane, J. Phys. A,22, 4581 (1989).

    Google Scholar 

  2. L. C. Biedenharn, J. Phys. A,22, L873 (1989).

    Google Scholar 

  3. E. J. Kagramanov, R. M. Mir-Kasimov, and Sh. M. Nagiyev, J. Math. Phys.,31, 1733 (1990).

    Google Scholar 

  4. N. M. Atakishiev and S. K. Suslov, Teor. Mat. Fiz.,85, 64 (1990).

    Google Scholar 

  5. P. P. Kulish, and E. V. Damaskinsky, J. Phys. A,23, L415 (1990).

    Google Scholar 

  6. T. Stieltjes, Investigations of Continued Fractions [Russian translation], GINTIU, Kharkov-Kiev (1936), pp. 100–101; S. Wigert, Ark. Mat., Astron, Fys.,17, No. 18 (1923).

    Google Scholar 

  7. S. K. Suslov, Usp. Mat. Nauk,44, 209 (1989).

    Google Scholar 

  8. N. M. Atakishiev and S. K. Suslov, in: Modern Group Analysis: Methods and Applications [in Russian], Élm, Baku (1989), pp. 17–20.

    Google Scholar 

  9. N. M. Atakishiev, Lecture Notes in Phys.,180, 393 (1983); N. M. Atakishiev, Teor. Mat. Fiz.,56, 154 (1983).

    Google Scholar 

  10. M. Arik and D. D. Coon, J. Math. Phys.,17, 524 (1976).

    Google Scholar 

  11. T. S. Chihara, An Introduction to Orthogonal Polynomials, Gordon and Breach, New York (1978).

    Google Scholar 

  12. G. Andrews and R. Askey, Lecture Notes in Math.,1171, 36 (1985).

    Google Scholar 

  13. R. Askey, Proc. Symp. Pure Math.,49, Part 2, 299 (1989).

    Google Scholar 

  14. R. Askey, in: q-Series and Partitions (ed. D. Stanton), Springer-Verlag, Berlin (1989), pp. 151–158.

    Google Scholar 

  15. S. K. Syslov, Lett. Math. Phys.,14, 77 (1987).

    Google Scholar 

  16. G. Gasper and M. Rahman, Basic Hypergeometric Series, Cambridge University Press, Cambridge (1990).

    Google Scholar 

Download references

Authors

Additional information

I. V. Kurchatov Institute of Atomic Energy. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 87, No. 1, pp. 154–156, April, 1991.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Atakishiev, N.M., Suslov, S.K. A realization fo the q-harmonic oscillator. Theor Math Phys 87, 442–444 (1991). https://doi.org/10.1007/BF01016585

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01016585

Navigation