Unitary Symmetry And Combinatorics (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
644
Utgivningsdatum
2008-09-02
Upplaga
illustrated ed
Förlag
World Scientific Publishing Co Pte Ltd
Illustrationer
black & white illustrations, figures
Dimensioner
226 x 155 x 41 mm
Vikt
1044 g
Antal komponenter
1
ISBN
9789812814722

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Unitary Symmetry And Combinatorics (inbunden)

Unitary Symmetry And Combinatorics

av James D Louck
Inbunden Engelska, 2008-09-02
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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.
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Innehållsförteckning

Quantum Angular Momentum; Composite Systems; Graphs and Adjacency Diagrams; Generating Functions; The D -Polynomials: Form; Operator Actions in Hilbert Space; The D -Polynomials: Structure; The General Linear and Unitary Groups; Tensor Operator Theory; Compendium A: Basic Algebraic Objects; Compendium B: Combinatorial Objects.