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Appln of Unitary Symmetry & Combinatoric

Appln of Unitary Symmetry & Combinatoric

Hardcover

General MathematicsPhysics

ISBN10: 9814350710
ISBN13: 9789814350716
Publisher: World Scientific Publishing Company
Published: May 23 2011
Pages: 380
Weight: 1.75
Height: 1.00 Width: 6.70 Depth: 9.80
Language: English

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 matrices, the properties of magic squares and an associated generalized Regge form, the Zeilberger counting formula for alternating sign matrices, and the

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Louck James D

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General Mathematics