A01=James D Louck
Angular Momentum Coupling
Author_James D Louck
Binary Trees
Category=PBV
Category=PHQ
Combinatorics
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Gelfand-Tsetlin Patterns
GelfandAcAEURA"Tsetlin Patterns
Gelfand–Tsetlin Patterns
Littlewood-Richardson Numbers
LittlewoodAcAEURA"Richardson Numbers
Littlewood–Richardson Numbers
Trivalent Trees
Unitary Symmetry
Universal Polynomials
Young Tableaux
Product details
- ISBN 9789812814722
- Publication Date: 02 Sep 2008
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 the general unitary group and are the basic objects of study. The structure of these irreducible polynomials and the reduction of their Kronecker product is developed in detail, as is the theory of tensor operators.
