Scalar product for the tensor operators of the quantum algebra Ŭq(su2) by the Wigner

Scalar product for the tensor operators of the quantum algebra Ŭq(su2) by the Wigner–Eckart theorem

Published:2015-10-25 Issue:10 Volume:12 Page:1550107
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Fakhri H.¹,Nouraddini M.¹

Affiliation:

1. Department of Theoretical Physics and Astrophysics, Faculty of Physics, University of Tabriz, P. O. Box 51666-16471, Tabriz, Iran

Abstract

Tensor operators as the irreducible submodules corresponding to the adjoint representation of the quantum algebra Ŭq( su 2) are equipped with q-analogue of the Hilbert–Schmidt scalar product by using the Wigner–Eckart theorem. Then, it is used to show that the adjoint representation of the quantum algebra Ŭq( su 2) is a *-representation.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887815501078

Reference9 articles.

1. Tensor operators and Clebsch–Gordan coefficients of the quantum algebra suq(1,1)

2. Onq-tensor operators for quantum groups

3. Quantum algebra approach to q Gegenbauer polynomials

4. Quantum Groups and Their Representations

5. Casimir invariants for Hopf algebras

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