Skip to main content
SpringerLink
Log in

Angular momentum on the quantum Euclidean spaceR 3 q

  • Note Brevi
  • Published:
Il Nuovo Cimento B (1971-1996)

Summary

We construct the «angular momentum» on the Euclidean quantum spaceR 3 q ,i.e. theq-deformed analog of the angular momentum on ordinary 3-dimensional spaceR 3, as a q-deformed differential operator onR 3 q . It generates anU q (3) ≈U q (SU(2)) Hopf algebra, as expected. The base spaces of irreducible (vector) representations are the spaces of q-symmetrized homogeneous polynomials in the coordinates ofR 3 q .

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. J. Wess andB. Zumino:Nucl. Phys. Proc. Suppl. B,18, 302 (1991);W. Pusz andS. L. Woronowicz:Rep. Math. Phys.,27, 231 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  2. O. Ogievetsky, W. B. Schmidke, J. Wess andB. Zumino:Commun. Math. Phys.,150, 495 (1992).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. U. Caeow-Watamura, M. Schlieker andS. Watamura:Z. Phys. C,49, 439 (1991).

    Article  MathSciNet  Google Scholar 

  4. G. Fiore:Int. J. Mod. Phys. A,8, 4679 (1993).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. L. D. Faddeev, N. Y. Reshetikhin andL. A. Takhtajan:Algebra Anal,1, 178 (1989), translated from the Russian inLeningrad Math. J. 1, 193 (1990).

    MathSciNet  Google Scholar 

  6. G. Fiore:Realization of Uq (so(N)) within the differential algebra on Rq3, SISSA preprint 90/93/EP.

  7. A. Hebecker andW. Weich:Lett. Math. Phys.,26, 245 (1992).

    Article  MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. SISSA, Strada Costiera 11, 34014, Trieste, Italia

    G. Fiore

  2. Sezione di Trieste, INFN, Trieste, Italia

    G. Fiore

Authors
  1. G. Fiore
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fiore, G. Angular momentum on the quantum Euclidean spaceR 3 q . Nuov Cim B 108, 1427–1429 (1993). https://doi.org/10.1007/BF02755195

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02755195

PACS

PACS

Search

Navigation