Unitary Symmetry And Combinatorics
Book Details
Format
Hardback or Cased Book
ISBN-10
9812814728
ISBN-13
9789812814722
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
SG
Country of Publication
GB
Publication Date
Sep 2nd, 2008
Print length
644 Pages
Product Classification:
Combinatorics & graph theoryQuantum physics (quantum mechanics & quantum field theory)
Ksh 36,900.00
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Integrates unitary symmetry and combinatorics showing 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. This book offers a theory of recoupling coefficients for quantum angular momentum.
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.
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