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Unitary Symmetry and Combinatorics

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Unitary Symmetry and Combinatorics - Louck, James D
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This monograph integrates unitary symmetry and combinatorics, showing in great detail how the coupling of angular momenta in quantum mechanics is related to binary trees, trivalent trees, cubic graphs, MacMahon's master theorem, and other basic combinatorial concepts. A comprehensive theory of recoupling matrices for quantum angular momentum is developed. For the general unitary group, polynomial forms in many variables called matrix Schur functions have the remarkable property of giving all irreducible representations of ...

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Unitary Symmetry and Combinatorics 2008, World Scientific Publishing Company

ISBN-13: 9789812814722

Hardcover