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Czechoslovak Journal of Physics

, Volume 50, Issue 11, pp 1359–1369 | Cite as

New approach in theory of Clebsch-Gordan coefficients foru(n) andU q(u(n))

  • V. N. Tolstoy
  • J. P. Draayer
Article

Abstract

A new method for calculation of Clebsch-Gordan coefficients (CGCs) of the Lie algebrau(n) and its quantum analogU q(u(n)) is developed. The method is based on the projection operator method in combination with the Wigner-Racah calculus for the subalgebrau(n−1) (U q(u(n−1))). The key formulas of the method are couplings of the tensor and projection operators and also a tensor form of the projection operator ofu(n) andU q(u(n)). It is shown that theU q(u(n)) CGCs can be presented in terms of theU q(u)(n−1)) q−9j-symbols.

Keywords

Projection Operator Canonical Basis Tensor Form Interaction Boson Model Tensor Basis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2000

Authors and Affiliations

  • V. N. Tolstoy
    • 1
  • J. P. Draayer
    • 2
  1. 1.Institute of Nuclear PhysicsMoscow State UniversityMoscowRussia
  2. 2.Department of Physics & AstronomyLouisiana State UniversityLouisianaUSA

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