TY - BOOK ID - 135837948 TI - Applications of unitary symmetry and combinatorics PY - 2011 SN - 1283433834 9786613433831 9814350729 9789814350723 9781283433839 9789814350716 9814350710 PB - Hackensack, N.J. : World Scientific, DB - UniCat KW - Symmetry (Physics) KW - Combinatorial analysis. UR - https://www.unicat.be/uniCat?func=search&query=sysid:135837948 AB - This monograph is a synthesis of the theory of the pairwise coupling of the angular momenta of arbitrarily many independent systems to the total angular momentum in which the universal role of doubly stochastic matrices and their quantum-mechanical probabilistic interpretation is a major theme. A uniform viewpoint is presented based on the structure of binary trees. This includes a systematic method for the evaluation of all 3n-j coefficients and their relationship to cubic graphs. A number of topical subjects that emerge naturally are also developed, such as the algebra of permutation matrice ER -