Overview

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.

Full Product Details

Author:   James D Louck (Los Alamos Nat'l Lab, Usa)
Publisher:   World Scientific Publishing Co Pte Ltd
Imprint:   World Scientific Publishing Co Pte Ltd
Dimensions:   Width: 15.50cm , Height: 4.10cm , Length: 22.60cm
Weight:   1.043kg
ISBN:  

9789812814722

ISBN 10:   9812814728
Pages:   644
Publication Date:   02 September 2008
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

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.

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