학술논문

New approach in theory of Clebsch-Gordan coefficients foru(n) andU .sub.q(u(n))
Document Type
Report
Author abstract
Source
Czechoslovak Journal of Physics. Nov, 2000, Vol. 50 Issue 11, p1359, 11 p.
Subject
Language
English
ISSN
0011-4626
Abstract
A new method for calculation of Clebsch-Gordan coefficients (CGCs) of the Lie algebrau(n) and its quantum analogU .sub.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 .sub.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 .sub.q(u(n)). It is shown that theU .sub.q(u(n)) CGCs can be presented in terms of theU .sub.q(u)(n-1)) q-9j-symbols.