Unitary Symmetry And Combinatorics

Unitary Symmetry And Combinatorics

EnglishHardback
Louck, James D (Los Alamos Nat'l Lab, Usa)
World Scientific Publishing Co Pte Ltd
EAN: 9789812814722
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Detailed information

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.
EAN 9789812814722
ISBN 9812814728
Binding Hardback
Publisher World Scientific Publishing Co Pte Ltd
Publication date September 2, 2008
Pages 644
Language English
Country Singapore
Readership Postgraduate, Research & Scholarly
Authors Louck, James D (Los Alamos Nat'l Lab, Usa)
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