Unitary Symmetry And Combinatorics
Seiten
2008
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-281-472-2 (ISBN)
World Scientific Publishing Co Pte Ltd (Verlag)
978-981-281-472-2 (ISBN)
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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.
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.
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.
| Erscheint lt. Verlag | 2.9.2008 |
|---|---|
| Verlagsort | Singapore |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| ISBN-10 | 981-281-472-8 / 9812814728 |
| ISBN-13 | 978-981-281-472-2 / 9789812814722 |
| Zustand | Neuware |
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