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Correlations of Spin States for Icosahedral Double Group
Authors:Shi-Hai Dong  Xi-Wen Hou  Zhong-Qi Ma
Institution:(1) Institute of High Energy Physics, P.O. Box 918(4), Beijing, 100039, China;(2) Department of Physics, Kansas State University, Manhattan, Kansas, 66506;(3) nstituto de Ciencias Nucleares, UNAM, Apdo. Postal 70-543, Circuito Exterior, CU, 04510 Mexico D.F., Mexico;(4) Department of Physics, University of Three Gorges, Yichang, 443000, China
Abstract:The irreducible bases of the icosahedral double groups Iprime and Iprimeh are explicitly presented in their respective group spaces. Applying these bases to the spin states |j, mgrrang, we obtain a simple formula for combining the spin states into the symmetry-adapted bases which belong to a given row of given irreducible representations of Iprime and Iprimeh.
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