Skip to main content
SpringerLink
Log in

The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra

  • Research Article
  • Published:
Central European Journal of Physics

Abstract

In this study we introduce a multi-dimensional q-deformed boson algebra and calculate its inhomogeneous invariance quantum group.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Chaichian, A. Demichev, Introduction to Quantum Groups (World Sientific Publishing Company, River Edge N.J., 1996)

    MATH  Google Scholar 

  2. E. Sklyanin, L. Takhtajan, L. Faddeev, Theor. Math. Phys.+ 40, 688 (1979)

    Article  Google Scholar 

  3. P. Kulish, N. Y. Reshetikhin, Journal of Mathematical Sciences 23, 2345 (1983)

    Google Scholar 

  4. L. C. Biedenharn, M. A. Lohe, Quantum Group Symmetry and q-Tensor Algebras (World Scientific Publishing Co. Pte. Ltd., Singapore, 1995)

    MATH  Google Scholar 

  5. V. G. Drinfeld, Proceedings of International Congress of Mathematicians, Berkeley, California, USA (Academic Press, 1986) 798

  6. S. L. Woronowicz, Commun. Math. Phys. 111, 613 (1987)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  7. W. Pusz, S. Woronowicz, Rep. Math. Phys. 27, 231 (1989)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  8. Yu I. Manin, Quantum groups and non-commmutative geometry (Centre De Recherches Math., Montreal, 1988)

    Google Scholar 

  9. M. Arik, U. Kayserilioglu, Balkan Physics Letters 13, 101 (2005)

    Google Scholar 

  10. M. Arik, A. Baykal, J. Math. Phys. 45, 4207 (2004)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  11. A. A. Altintas, Czech. J. Phys. 56, 1069 (2006)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  12. A. A. Altintas, M. Arik, Cent. Eur. J. Phys. 5, 70 (2007)

    Article  Google Scholar 

  13. A. Schirrmacher, J. Wess, B. Zumino, Z. Phys. C Part. Fields 49, 317 (1991)

    Article  MathSciNet  Google Scholar 

  14. A. A. Altintas, M. Arik, A. S. Arikan, Mod. Phys. Lett. A (in press)

  15. P. Aschieri, L. Castellani, Int. J. Mod. Phys. A 11, 1019 (1996)

    Article  MATH  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Boğaziçi University, Bebek, Istanbul, Turkey

    Azmi A. Altıntaş & Metin Arık

  2. Department of Physics, Sakarya University, Esentepe, Sakarya, Turkey

    Ali S. Arıkan

Authors
  1. Azmi A. Altıntaş
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Metin Arık
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ali S. Arıkan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ali S. Arıkan.

About this article

Cite this article

Altıntaş, A.A., Arık, M. & Arıkan, A.S. The inhomogeneous quantum invariance group of the multi-dimensional q-deformed boson algebra. centr.eur.j.phys. 8, 131–134 (2010). https://doi.org/10.2478/s11534-009-0077-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.2478/s11534-009-0077-x

Keywords

PACS (2008)

Search

Navigation