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Unitary Symmetry And Combinatorics
English
675 b
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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, MacMahon's master theorem, and other basic combinatorial concepts. Polynomial forms in many variables that have the remarkable property of giving all irreducible representations of the general unitary group are the basic objects of study. This book provides a comprehensive theory of recoupling coefficients for quantum angular momentum. For the general unitary group, the structure of these irreducible polynomials and the reduction of their Kronecker product is developed in detail, as is the theory of tensor operators.
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English
